diff --git a/var/spack/repos/builtin/packages/py-cvxpy/package.py b/var/spack/repos/builtin/packages/py-cvxpy/package.py
index a66058a72c..fbb4e111b5 100644
--- a/var/spack/repos/builtin/packages/py-cvxpy/package.py
+++ b/var/spack/repos/builtin/packages/py-cvxpy/package.py
@@ -13,13 +13,18 @@ class PyCvxpy(PythonPackage):
     homepage = "https://www.cvxpy.org/index.html"
     pypi = "cvxpy/cvxpy-1.0.25.tar.gz"
 
+    version('1.1.13', sha256='a9c781e74ad76097b47b86456cb3a943898f7ec9ac8f47bcefc922051cdc4a04')
     version('1.0.25', sha256='8535529ddb807067b0d59661dce1d9a6ddb2a218398a38ea7772328ad8a6ea13')
 
+    # Dependency versions based on README.md in python packages
+    depends_on('python@3.4:', type=('build', 'run'), when='@1.1:')
+    depends_on('python@3.6:', type=('build', 'run'), when='@1.1.13:')
     depends_on('py-setuptools', type='build')
     depends_on('py-numpy@1.15:',        type=('build', 'run'))
     depends_on('py-scipy@1.1.0:',        type=('build', 'run'))
     depends_on('py-ecos@2:',        type=('build', 'run'))
     depends_on('py-scs@1.1.3:',        type=('build', 'run'))
-    depends_on('py-osqp@0.4.1',        type=('build', 'run'))
+    depends_on('py-scs@1.1.6:',        type=('build', 'run'), when='@1.1.13:')
+    depends_on('py-osqp@0.4.1:',        type=('build', 'run'))
     depends_on('py-multiprocess', type=('build', 'run'))
-    depends_on('py-six', type=('build', 'run'))
+    depends_on('py-six', type=('build', 'run'), when='@:1.0.99')