diff --git a/share/cmake/modules/install/Installpystring.cmake b/share/cmake/modules/install/Installpystring.cmake
index 48ca152290..ee28e35a99 100644
--- a/share/cmake/modules/install/Installpystring.cmake
+++ b/share/cmake/modules/install/Installpystring.cmake
@@ -64,6 +64,7 @@ if(NOT pystring_FOUND AND OCIO_INSTALL_EXT_PACKAGES AND NOT OCIO_INSTALL_EXT_PAC
             -DCMAKE_INSTALL_LIBDIR=${CMAKE_INSTALL_LIBDIR}
             -DCMAKE_INSTALL_INCLUDEDIR=${CMAKE_INSTALL_INCLUDEDIR}
             -DCMAKE_OBJECT_PATH_MAX=${CMAKE_OBJECT_PATH_MAX}
+            -DPYSTRING_PC_VERSION=${pystring_VERSION}
         )
 
         if(CMAKE_TOOLCHAIN_FILE)
diff --git a/share/cmake/projects/Buildpystring.cmake b/share/cmake/projects/Buildpystring.cmake
index 85dbb48675..622b41eedc 100644
--- a/share/cmake/projects/Buildpystring.cmake
+++ b/share/cmake/projects/Buildpystring.cmake
@@ -33,3 +33,21 @@ install(TARGETS ${PROJECT_NAME}
     ARCHIVE DESTINATION ${CMAKE_INSTALL_LIBDIR}
     PUBLIC_HEADER DESTINATION ${CMAKE_INSTALL_INCLUDEDIR}/pystring
 )
+
+# pystring has no pkg-config file upstream, unlike its OCIO_INSTALL_EXT_PACKAGES
+# siblings (expat, yaml-cpp, Imath, minizip-ng, zlib); write a minimal one so
+# OpenColorIO.pc's Requires.private can reference it like the others.
+file(WRITE "${CMAKE_CURRENT_BINARY_DIR}/pystring.pc"
+"prefix=${CMAKE_INSTALL_PREFIX}
+exec_prefix=\${prefix}
+libdir=\${exec_prefix}/${CMAKE_INSTALL_LIBDIR}
+includedir=\${prefix}/${CMAKE_INSTALL_INCLUDEDIR}/pystring
+
+Name: pystring
+Description: A C++ port of some of Python's string functions
+Version: ${PYSTRING_PC_VERSION}
+Libs: -L\${libdir} -lpystring
+Cflags: -I\${includedir}
+")
+install(FILES "${CMAKE_CURRENT_BINARY_DIR}/pystring.pc"
+        DESTINATION "${CMAKE_INSTALL_LIBDIR}/pkgconfig")
diff --git a/src/OpenColorIO/CMakeLists.txt b/src/OpenColorIO/CMakeLists.txt
index ff20c1a6c7..8a290a069f 100755
--- a/src/OpenColorIO/CMakeLists.txt
+++ b/src/OpenColorIO/CMakeLists.txt
@@ -216,6 +216,51 @@ else()
     set(includedir "\${prefix}/${CMAKE_INSTALL_INCLUDEDIR}")
 endif()
 
+# Adds a static dependency's info to OpenColorIO.pc: to OCIO_PC_REQUIRES_PRIVATE
+# if it has its own pkg-config file (built via OCIO_INSTALL_EXT_PACKAGES, only
+# resolvable from the build tree), or to OCIO_PC_LIBS_PRIVATE otherwise (e.g. a
+# system-provided copy, referenced directly since it may have no .pc file).
+macro(ocio_add_static_pc_dependency dep_target pc_name)
+    if(TARGET ${dep_target})
+        get_target_property(_ocio_dep_loc ${dep_target} IMPORTED_LOCATION)
+        if(NOT _ocio_dep_loc)
+            get_target_property(_ocio_dep_configs ${dep_target} IMPORTED_CONFIGURATIONS)
+            if(_ocio_dep_configs)
+                list(GET _ocio_dep_configs 0 _ocio_dep_config)
+                get_target_property(_ocio_dep_loc ${dep_target} IMPORTED_LOCATION_${_ocio_dep_config})
+            endif()
+        endif()
+        if(_ocio_dep_loc)
+            string(FIND "${_ocio_dep_loc}" "${_ocio_ext_dist_root}/" _ocio_dep_is_ext_dist)
+            if(_ocio_dep_is_ext_dist EQUAL 0)
+                string(APPEND OCIO_PC_REQUIRES_PRIVATE " ${pc_name}")
+            else()
+                get_filename_component(_ocio_dep_dir "${_ocio_dep_loc}" DIRECTORY)
+                get_filename_component(_ocio_dep_name "${_ocio_dep_loc}" NAME_WE)
+                string(REGEX REPLACE "^lib" "" _ocio_dep_name "${_ocio_dep_name}")
+                string(APPEND OCIO_PC_LIBS_PRIVATE " -L${_ocio_dep_dir} -l${_ocio_dep_name}")
+            endif()
+        endif()
+    endif()
+endmacro()
+
+set(OCIO_PC_REQUIRES_PRIVATE "")
+set(OCIO_PC_LIBS_PRIVATE "")
+if(NOT BUILD_SHARED_LIBS)
+    # A static libOpenColorIO doesn't embed its own dependencies, so pkg-config
+    # needs to know about them too (pystring has no upstream .pc file, so
+    # Buildpystring.cmake now generates one).
+    set(_ocio_ext_dist_root "${PROJECT_BINARY_DIR}/ext/dist")
+    ocio_add_static_pc_dependency(expat::expat expat)
+    ocio_add_static_pc_dependency(Imath::Imath Imath)
+    ocio_add_static_pc_dependency(pystring::pystring pystring)
+    ocio_add_static_pc_dependency(yaml-cpp::yaml-cpp yaml-cpp)
+    ocio_add_static_pc_dependency(MINIZIP::minizip-ng minizip-ng)
+    ocio_add_static_pc_dependency(ZLIB::ZLIB zlib)
+    string(STRIP "${OCIO_PC_REQUIRES_PRIVATE}" OCIO_PC_REQUIRES_PRIVATE)
+    string(STRIP "${OCIO_PC_LIBS_PRIVATE}" OCIO_PC_LIBS_PRIVATE)
+endif()
+
 configure_file(res/OpenColorIO.pc.in ${CMAKE_CURRENT_BINARY_DIR}/OpenColorIO.pc @ONLY)
 install(FILES ${CMAKE_CURRENT_BINARY_DIR}/OpenColorIO.pc DESTINATION ${CMAKE_INSTALL_LIBDIR}/pkgconfig)
 
diff --git a/src/OpenColorIO/res/OpenColorIO.pc.in b/src/OpenColorIO/res/OpenColorIO.pc.in
index f25c2808ca..4461a35c5e 100644
--- a/src/OpenColorIO/res/OpenColorIO.pc.in
+++ b/src/OpenColorIO/res/OpenColorIO.pc.in
@@ -7,5 +7,7 @@ Name: @PROJECT_NAME@
 Version: @PROJECT_VERSION@
 Description: @PROJECT_DESCRIPTION@
 URL: @PROJECT_HOMEPAGE_URL@
+Requires.private: @OCIO_PC_REQUIRES_PRIVATE@
 Libs: -L${libdir} -l@PROJECT_NAME@
+Libs.private: @OCIO_PC_LIBS_PRIVATE@
 Cflags: -I${includedir}