diff --git a/cmake/Dependencies.cmake b/cmake/Dependencies.cmake
index 6d0f956bf17..c53549afd5b 100644
--- a/cmake/Dependencies.cmake
+++ b/cmake/Dependencies.cmake
@@ -107,7 +107,7 @@ else()
   set(AT_MKLDNN_ENABLED 0)
   set(AT_MKL_ENABLED 0)
 endif()
-set_property(CACHE BLAS PROPERTY STRINGS "Eigen;ATLAS;OpenBLAS;MKL;vecLib;FLAME")
+set_property(CACHE BLAS PROPERTY STRINGS "Eigen;ATLAS;OpenBLAS;MKL;vecLib;FLAME;Generic")
 message(STATUS "Trying to find preferred BLAS backend of choice: " ${BLAS})
 
 if(BLAS STREQUAL "Eigen")
@@ -147,6 +147,12 @@ elseif(BLAS STREQUAL "vecLib")
   find_package(vecLib REQUIRED)
   include_directories(SYSTEM ${vecLib_INCLUDE_DIR})
   list(APPEND Caffe2_PUBLIC_DEPENDENCY_LIBS ${vecLib_LINKER_LIBS})
+elseif(BLAS STREQUAL "Generic")
+  # On Debian family, the CBLAS ABIs have been merged into libblas.so
+  find_library(BLAS_LIBRARIES blas)
+  message("-- Using BLAS: ${BLAS_LIBRARIES}")
+  list(APPEND Caffe2_PUBLIC_DEPENDENCY_LIBS ${BLAS_LIBRARIES})
+  set(GENERIC_BLAS_FOUND TRUE)
 else()
   message(FATAL_ERROR "Unrecognized BLAS option: " ${BLAS})
 endif()
@@ -155,7 +161,7 @@ if(NOT INTERN_BUILD_MOBILE)
   set(AT_MKL_ENABLED 0)
   set(AT_MKL_MT 0)
   set(USE_BLAS 1)
-  if(NOT (ATLAS_FOUND OR OpenBLAS_FOUND OR MKL_FOUND OR VECLIB_FOUND))
+  if(NOT (ATLAS_FOUND OR OpenBLAS_FOUND OR MKL_FOUND OR VECLIB_FOUND OR GENERIC_BLAS_FOUND))
     message(WARNING "Preferred BLAS (" ${BLAS} ") cannot be found, now searching for a general BLAS library")
     find_package(BLAS)
     if(NOT BLAS_FOUND)