diff --git a/var/spack/repos/builtin/packages/openmpi/package.py b/var/spack/repos/builtin/packages/openmpi/package.py
index 07c9154c143..62c122684eb 100644
--- a/var/spack/repos/builtin/packages/openmpi/package.py
+++ b/var/spack/repos/builtin/packages/openmpi/package.py
@@ -571,9 +571,10 @@ class Openmpi(AutotoolsPackage, CudaPackage):
     variant("openshmem", default=False, description="Enable building OpenSHMEM")
     variant("debug", default=False, description="Make debug build", when="build_system=autotools")
 
-    provides("mpi")
-    provides("mpi@:2.2", when="@1.6.5")
-    provides("mpi@:3.0", when="@1.7.5:")
+    provides("mpi@:2.0", when="@:1.2")
+    provides("mpi@:2.1", when="@1.3:1.7.2")
+    provides("mpi@:2.2", when="@1.7.3:1.7.4")
+    provides("mpi@:3.0", when="@1.7.5:1.10.7")
     provides("mpi@:3.1", when="@2.0.0:")
 
     if sys.platform != "darwin":