I’m working on 2 cmake projects.

Project A creates a shared lib that depends on OpenMP.

find_package(OpenMP REQUIRED)
add_library(lib_a SHARED file_a.cpp)
target_link_libraries(lib_a OpenMP::OpenMP_CXX)

And project B uses the above library.
Note that project B itself does not depend on OpenMP.

find_package(project_a REQUIRED)
add_library(lib_b SHARED file_b.cpp)
target_link_libraries(lib_b project_a::lib_a)

I can compile project A without issues.

When compiling project B I get the error:

Target "lib_b" links to target "OpenMP::OpenMP_CXX" but the target was not found. Perhaps a find_package() call is missing for an IMPORTED target, or an ALIAS target is missing?

I can compile project B without issues if I add find_package(OpenMP REQUIRED) to its CMakeLists.txt.
But since project B itself doesn’t depend on OpenMP I shouldn’t need to do this, right??

I’m guessing I’m missing some step in project A’s cmake?
How can I fix this without having to find OpenMP in project B?