diff --git a/tensorflow/core/common_runtime/bfc_allocator.cc b/tensorflow/core/common_runtime/bfc_allocator.cc
index 3551472e9c6..b271bc5058f 100644
--- a/tensorflow/core/common_runtime/bfc_allocator.cc
+++ b/tensorflow/core/common_runtime/bfc_allocator.cc
@@ -35,6 +35,7 @@ limitations under the License.
 namespace tensorflow {
 
 constexpr BFCAllocator::ChunkHandle BFCAllocator::kInvalidChunkHandle;
+constexpr uint64 BFCAllocator::kMemDebugHistorySize;
 
 BFCAllocator::BFCAllocator(SubAllocator* sub_allocator, size_t total_memory,
                            bool allow_growth, const string& name,
diff --git a/tensorflow/core/framework/model.cc b/tensorflow/core/framework/model.cc
index 4bd2af5f9c6..d48e88be011 100644
--- a/tensorflow/core/framework/model.cc
+++ b/tensorflow/core/framework/model.cc
@@ -25,6 +25,10 @@ limitations under the License.
 namespace tensorflow {
 namespace data {
 namespace model {
+
+constexpr int64 Model::kOptimizationPeriodMinMs;
+constexpr int64 Model::kOptimizationPeriodMaxMs;
+
 namespace {
 
 // Helper function for node traversal that doesn't skip any nodes.