diff --git a/include/exec/thread_pool_base.hpp b/include/exec/thread_pool_base.hpp
index 1317b0d92..7ce4899ce 100644
--- a/include/exec/thread_pool_base.hpp
+++ b/include/exec/thread_pool_base.hpp
@@ -38,11 +38,13 @@ import stdexec;
 #  include "../stdexec/__detail/__transform_completion_signatures.hpp"
 #  include "../stdexec/__detail/__type_traits.hpp"
 
+#  include <algorithm>
 #  include <atomic>
 #  include <concepts>
 #  include <cstdint>
 #  include <exception>
 #  include <tuple>
+#  include <type_traits>
 #  include <utility>
 #  include <variant>
 #endif
@@ -230,6 +232,7 @@ namespace experimental::execution
         [[nodiscard]]
         auto num_agents_required() const -> std::uint32_t
         {
+          using common_shape_t   = std::common_type_t<Shape, std::uint32_t>;
           auto const parallelism = parallelize_ ? pool_.available_parallelism()
                                                 : static_cast<std::uint32_t>(1);
 
@@ -237,7 +240,7 @@ namespace experimental::execution
           // ask for more agents (tasks) than we can actually deal with at one
           // time?
           return Shape{} < shape_
-                 ? static_cast<std::uint32_t>((std::min) (shape_, static_cast<Shape>(parallelism)))
+                 ? static_cast<std::uint32_t>((std::min<common_shape_t>) (shape_, parallelism))
                  : 0;
         }
 
diff --git a/test/exec/test_thread_pool_base.cpp b/test/exec/test_thread_pool_base.cpp
index 68fe40a08..58aac6c9c 100644
--- a/test/exec/test_thread_pool_base.cpp
+++ b/test/exec/test_thread_pool_base.cpp
@@ -18,8 +18,11 @@
 #include <stdexec/execution.hpp>
 #include <test_common/catch2.hpp>
 
+#include <array>
 #include <cstdint>
 #include <exception>
+#include <limits>
+#include <utility>
 
 namespace ex = STDEXEC;
 
@@ -32,7 +35,7 @@ namespace
     [[nodiscard]]
     auto available_parallelism() const noexcept -> std::uint32_t
     {
-      return 1;
+      return parallelism_;
     }
 
     [[nodiscard]]
@@ -47,7 +50,8 @@ namespace
       task->execute_(task, tid);
     }
 
-    std::uint32_t enqueued_ = 0;
+    std::uint32_t parallelism_ = 1;
+    std::uint32_t enqueued_    = 0;
   };
 
   struct value_capture_error
@@ -126,15 +130,137 @@ namespace
     CHECK(pool.enqueued_ == 1);
   }
 
-  TEST_CASE("thread_pool_base bulk does not invoke the function with a negative shape",
+  TEMPLATE_TEST_CASE("thread_pool_base bulk handles pool sizes wider than the shape",
+                     "[thread_pool_base][bulk]",
+                     std::uint8_t,
+                     std::int8_t,
+                     std::uint16_t,
+                     std::int16_t,
+                     std::int32_t)
+  {
+    inline_test_thread_pool pool;
+    pool.parallelism_ = GENERATE(256u, 257u, 65'536u, 65'537u, 0x80000000u, 0xffffffffu);
+    completion_state   state;
+    std::array<int, 5> visits{};
+    auto const         shape = GENERATE(TestType{1}, TestType{3}, TestType{5});
+
+    SECTION("chunked")
+    {
+      auto sndr = ex::schedule(pool.get_scheduler())
+                | ex::bulk_chunked(ex::par,
+                                   shape,
+                                   [&](TestType begin, TestType end) noexcept
+                                   {
+                                     for (auto i = begin; i < end; ++i)
+                                     {
+                                       ++visits[i];
+                                     }
+                                   });
+      auto op = ex::connect(std::move(sndr), counting_receiver{&state});
+      ex::start(op);
+    }
+
+    SECTION("unchunked")
+    {
+      auto sndr = ex::schedule(pool.get_scheduler())
+                | ex::bulk_unchunked(ex::par, shape, [&](TestType i) noexcept { ++visits[i]; });
+      auto op = ex::connect(std::move(sndr), counting_receiver{&state});
+      ex::start(op);
+    }
+
+    REQUIRE(state.completions_ == 1);
+    CHECK_FALSE(state.error_);
+    CHECK(pool.enqueued_ == static_cast<std::uint32_t>(shape) + 1);
+    for (std::size_t i = 0; i < visits.size(); ++i)
+    {
+      CHECK(visits[i] == (i < static_cast<std::size_t>(shape) ? 1 : 0));
+    }
+  }
+
+  TEST_CASE("thread_pool_base bulk covers a maximal uint8 shape", "[thread_pool_base][bulk]")
+  {
+    inline_test_thread_pool pool;
+    pool.parallelism_ = 256;
+    completion_state     state;
+    std::array<int, 255> visits{};
+
+    auto sndr = ex::schedule(pool.get_scheduler())
+              | ex::bulk_unchunked(ex::par,
+                                   std::uint8_t{255},
+                                   [&](std::uint8_t i) noexcept { ++visits[i]; });
+    auto op = ex::connect(std::move(sndr), counting_receiver{&state});
+    ex::start(op);
+
+    CHECK(state.completions_ == 1);
+    CHECK_FALSE(state.error_);
+    CHECK(pool.enqueued_ == 256);
+    for (int count: visits)
+    {
+      CHECK(count == 1);
+    }
+  }
+
+  TEST_CASE("thread_pool_base bulk preserves shapes wider than the worker count",
+            "[thread_pool_base][bulk]")
+  {
+    inline_test_thread_pool pool;
+    pool.parallelism_ = 2;
+    completion_state state;
+    auto const       shape   = GENERATE(std::uint64_t{1} << 32,
+                                (std::numeric_limits<std::uint64_t>::max)());
+    std::uint64_t    visited = 0;
+
+    auto sndr = ex::schedule(pool.get_scheduler())
+              | ex::bulk_chunked(ex::par,
+                                 shape,
+                                 [&](std::uint64_t begin, std::uint64_t end) noexcept
+                                 { visited += end - begin; });
+    auto op = ex::connect(std::move(sndr), counting_receiver{&state});
+    ex::start(op);
+
+    CHECK(state.completions_ == 1);
+    CHECK_FALSE(state.error_);
+    CHECK(visited == shape);
+    CHECK(pool.enqueued_ == 3);
+  }
+
+  TEST_CASE("thread_pool_base sequential bulk uses one worker with a narrow shape",
+            "[thread_pool_base][bulk]")
+  {
+    inline_test_thread_pool pool;
+    pool.parallelism_ = 256;
+    completion_state state;
+    int              visited    = 0;
+    int              bulk_calls = 0;
+
+    auto sndr = ex::schedule(pool.get_scheduler())
+              | ex::bulk_chunked(ex::seq,
+                                 std::uint8_t{3},
+                                 [&](std::uint8_t begin, std::uint8_t end) noexcept
+                                 {
+                                   visited += end - begin;
+                                   ++bulk_calls;
+                                 });
+    auto op = ex::connect(std::move(sndr), counting_receiver{&state});
+    ex::start(op);
+
+    CHECK(state.completions_ == 1);
+    CHECK_FALSE(state.error_);
+    CHECK(visited == 3);
+    CHECK(bulk_calls == 1);
+    CHECK(pool.enqueued_ == 2);
+  }
+
+  TEST_CASE("thread_pool_base bulk does not invoke the function with a nonpositive shape",
             "[thread_pool_base][bulk]")
   {
     inline_test_thread_pool pool;
     completion_state        state;
     int                     bulk_calls = 0;
 
-    auto sndr = ex::schedule(pool.get_scheduler())
-              | ex::bulk_chunked(ex::par, -1, [&](int, int) noexcept { ++bulk_calls; });
+    auto const shape = GENERATE(-1, 0);
+    auto       sndr  = ex::schedule(pool.get_scheduler())
+              | ex::bulk_chunked(ex::par, shape, [&](int, int) noexcept { ++bulk_calls; });
     auto op = ex::connect(std::move(sndr), counting_receiver{&state});
 
     ex::start(op);