@@ -38,9 +38,10 @@ requirements:
     - llvmlite >=0.39.0dev0,<0.39
     # TBB devel version is to match TBB libs.
     # 2020.3 is the last version with the "old" ABI
+    # NOTE: 2021.1..2021.5 are API compatible for Numba's purposes.
     # NOTE: ppc64le exclusion is temporary until packages are more generally
     #       available.
-    - tbb-devel >=2021       # [not (armv6l or armv7l or aarch64 or linux32 or ppc64le)]
+    - tbb-devel >=2021,<2021.6       # [not (armv6l or armv7l or aarch64 or linux32 or ppc64le)]
   run:
     - python >=3.7
     - numpy >=1.18
 
@@ -213,7 +213,7 @@ vary with target operating system and hardware. The following lists them all
   * ``llvm-openmp`` (OSX) - provides headers for compiling OpenMP support into
     Numba's threading backend
   * ``tbb-devel`` - provides TBB headers/libraries for compiling TBB support
-    into Numba's threading backend (version >= 2021 required).
+    into Numba's threading backend (2021 <= version < 2021.6 required).
   * ``importlib_metadata`` (for Python versions < 3.9)
 
 * Optional runtime are:
 
@@ -27,8 +27,8 @@ Implement parallel vectorize workqueue on top of Intel TBB.
  * from here:
  * https://github.com/intel/tbb/blob/2019_U5/include/tbb/tbb_stddef.h#L29
  */
-#if TBB_INTERFACE_VERSION < 12010
-#error "TBB version is too old, 2021 update 1, i.e. TBB_INTERFACE_VERSION >= 12010 required"
+#if (TBB_INTERFACE_VERSION >= 12060) || (TBB_INTERFACE_VERSION < 12010)
+#error "TBB version is incompatible, 2021.1 through to 2021.5 required, i.e. 12010 <= TBB_INTERFACE_VERSION < 12060"
 #endif
 
 #define _DEBUG 0