diff --git a/var/spack/repos/builtin/packages/py-llvmlite/package.py b/var/spack/repos/builtin/packages/py-llvmlite/package.py
index f4e39416ff..a94dc5b6e3 100644
--- a/var/spack/repos/builtin/packages/py-llvmlite/package.py
+++ b/var/spack/repos/builtin/packages/py-llvmlite/package.py
@@ -12,6 +12,7 @@ class PyLlvmlite(PythonPackage):
     homepage = "https://llvmlite.readthedocs.io/en/latest/index.html"
     pypi = "llvmlite/llvmlite-0.23.0.tar.gz"
 
+    version('0.39.0', sha256='01098be54f1aa25e391cebba8ea71cd1533f8cd1f50e34c7dd7540c2560a93af')
     version('0.38.0', sha256='a99d166ccf3b116f3b9ed23b9b70ba2415640a9c978f3aaa13fad49c58f4965c')
     version('0.37.0', sha256='6392b870cd018ec0c645d6bbb918d6aa0eeca8c62674baaee30862d6b6865b15')
     version('0.34.0', sha256='f03ee0d19bca8f2fe922bb424a909d05c28411983b0c2bc58b020032a0d11f63')
diff --git a/var/spack/repos/builtin/packages/py-numba/package.py b/var/spack/repos/builtin/packages/py-numba/package.py
index 7718085a17..a8181a16b3 100644
--- a/var/spack/repos/builtin/packages/py-numba/package.py
+++ b/var/spack/repos/builtin/packages/py-numba/package.py
@@ -12,6 +12,8 @@ class PyNumba(PythonPackage):
     homepage = "https://numba.pydata.org/"
     pypi = "numba/numba-0.35.0.tar.gz"
 
+    version('0.56.0', sha256='87a647dd4b8fce389869ff71f117732de9a519fe07663d9a02d75724eb8e244d')
+    version('0.55.2', sha256='e428d9e11d9ba592849ccc9f7a009003eb7d30612007e365afe743ce7118c6f4')
     version('0.55.1', sha256='03e9069a2666d1c84f93b00dbd716fb8fedde8bb2c6efafa2f04842a46442ea3')
     version('0.54.0', sha256='bad6bd98ab2e41c34aa9c80b8d9737e07d92a53df4f74d3ada1458b0b516ccff')
     version('0.51.1', sha256='1e765b1a41535684bf3b0465c1d0a24dcbbff6af325270c8f4dad924c0940160')
@@ -28,14 +30,16 @@ class PyNumba(PythonPackage):
     depends_on('python@3.6:3.8', type=('build', 'run'), when='@0.48:0.51')
     depends_on('python@3.3:3.7', type=('build', 'run'), when='@0.40.1:0.47')
     depends_on('python@3.3:3.6', type=('build', 'run'), when='@:0.35.0')
-    depends_on('py-numpy@1.18:1.21', type=('build', 'run'), when='@0.55.0:')
+    depends_on('py-numpy@1.18:1.22', type=('build', 'run'), when='@0.55.2:')
+    depends_on('py-numpy@1.18:1.21', type=('build', 'run'), when='@0.55.0:0.55.1')
     depends_on('py-numpy@1.17:1.20', type=('build', 'run'), when='@0.54')
     # set upper bound for py-numpy the same as newer release
     depends_on('py-numpy@1.15:1.20', type=('build', 'run'), when='@0.48:0.53')
     depends_on('py-numpy@1.10:1.20', type=('build', 'run'), when='@:0.47')
     depends_on('py-setuptools', type=('build', 'run'))
 
-    depends_on('py-llvmlite@0.38', type=('build', 'run'), when='@0.55.1')
+    depends_on('py-llvmlite@0.39', type=('build', 'run'), when='@0.56')
+    depends_on('py-llvmlite@0.38', type=('build', 'run'), when='@0.55')
     depends_on('py-llvmlite@0.37', type=('build', 'run'), when='@0.54.0')
     depends_on('py-llvmlite@0.34', type=('build', 'run'), when='@0.51.1')
     depends_on('py-llvmlite@0.33', type=('build', 'run'), when='@0.50.1')