--- a/cmake/DeflateCodec.cmake
+++ b/cmake/DeflateCodec.cmake
@@ -35,7 +35,10 @@ set(ZIP_SUPPORT ${ZLIB_SUPPORT})
 
 # libdeflate
 set(LIBDEFLATE_SUPPORT FALSE)
-find_package(Deflate)
+find_package(libdeflate CONFIG)
+if(libdeflate_FOUND)
+    set(Deflate_FOUND TRUE)
+endif()
 option(libdeflate "use libdeflate (optional for faster Deflate support, still requires zlib)" ${Deflate_FOUND})
 if (libdeflate AND Deflate_FOUND AND ZIP_SUPPORT)
     set(LIBDEFLATE_SUPPORT TRUE)
--- a/cmake/JBIGCodec.cmake
+++ b/cmake/JBIGCodec.cmake
@@ -27,14 +27,17 @@
 # JBIG-KIT
 set(JBIG_SUPPORT FALSE)
 
-find_package(JBIG)
+find_package(jbig CONFIG)
+if(jbig_FOUND)
+    set(JBIG_FOUND TRUE)
+endif()
 
 if(JBIG_FOUND)
     set(CMAKE_REQUIRED_INCLUDES_SAVE ${CMAKE_REQUIRED_INCLUDES})
     set(CMAKE_REQUIRED_INCLUDES ${CMAKE_REQUIRED_INCLUDES} ${JBIG_INCLUDE_DIRS})
     set(CMAKE_REQUIRED_LIBRARIES_SAVE ${CMAKE_REQUIRED_LIBRARIES})
     set(CMAKE_REQUIRED_LIBRARIES ${CMAKE_REQUIRED_LIBRARIES} ${JBIG_LIBRARIES})
-    check_symbol_exists(jbg_newlen "jbig.h" HAVE_JBG_NEWLEN)
+    set(HAVE_JBG_NEWLEN TRUE)
     set(CMAKE_REQUIRED_INCLUDES ${CMAKE_REQUIRED_INCLUDES_SAVE})
     set(CMAKE_REQUIRED_LIBRARIES ${CMAKE_REQUIRED_LIBRARIES_SAVE})
 endif()
--- a/cmake/ZSTDCodec.cmake
+++ b/cmake/ZSTDCodec.cmake
@@ -28,14 +28,17 @@
 set(ZSTD_SUPPORT FALSE)
 set(ZSTD_USABLE FALSE)
 
-find_package(ZSTD)
+find_package(zstd CONFIG)
+if(zstd_FOUND)
+    set(ZSTD_FOUND TRUE)
+endif()
 
 if(ZSTD_FOUND)
     set(CMAKE_REQUIRED_INCLUDES_SAVE ${CMAKE_REQUIRED_INCLUDES})
     set(CMAKE_REQUIRED_INCLUDES ${CMAKE_REQUIRED_INCLUDES} ${ZSTD_INCLUDE_DIRS})
     set(CMAKE_REQUIRED_LIBRARIES_SAVE ${CMAKE_REQUIRED_LIBRARIES})
     set(CMAKE_REQUIRED_LIBRARIES ${CMAKE_REQUIRED_LIBRARIES} ${ZSTD_LIBRARIES})
-    check_symbol_exists(ZSTD_decompressStream "zstd.h" ZSTD_RECENT_ENOUGH)
+    set(ZSTD_RECENT_ENOUGH TRUE)
     set(CMAKE_REQUIRED_INCLUDES ${CMAKE_REQUIRED_INCLUDES_SAVE})
     set(CMAKE_REQUIRED_LIBRARIES ${CMAKE_REQUIRED_LIBRARIES_SAVE})
 
--- a/libtiff/CMakeLists.txt
+++ b/libtiff/CMakeLists.txt
@@ -114,7 +114,7 @@ if(ZIP_SUPPORT)
   string(APPEND tiff_requires_private " zlib")
 endif()
 if(ZIP_SUPPORT AND LIBDEFLATE_SUPPORT)
-  target_link_libraries(tiff PRIVATE Deflate::Deflate)
+  target_link_libraries(tiff PRIVATE $<IF:$<TARGET_EXISTS:libdeflate::libdeflate>,libdeflate::libdeflate,libdeflate::libdeflate_static>)
   list(APPEND tiff_libs_private_list "${Deflate_LIBRARY}")
 endif()
 if(JPEG_SUPPORT)
@@ -126,7 +126,7 @@ if(JPEG_SUPPORT)
   endif()
 endif()
 if(JBIG_SUPPORT)
-  target_link_libraries(tiff PRIVATE JBIG::JBIG)
+  target_link_libraries(tiff PRIVATE jbig::jbig)
   list(APPEND tiff_libs_private_list "${JBIG_LIBRARY}")
 endif()
 if(LERC_SUPPORT)
@@ -141,11 +141,11 @@ if(LZMA_SUPPORT)
   string(APPEND tiff_requires_private " liblzma")
 endif()
 if(ZSTD_SUPPORT)
-  target_link_libraries(tiff PRIVATE ZSTD::ZSTD)
+  target_link_libraries(tiff PRIVATE $<IF:$<TARGET_EXISTS:zstd::libzstd_shared>,zstd::libzstd_shared,zstd::libzstd_static>)
   string(APPEND tiff_requires_private " libzstd")
 endif()
 if(WEBP_SUPPORT)
-  target_link_libraries(tiff PRIVATE WebP::WebP)
+  target_link_libraries(tiff PRIVATE WebP::webp)
   string(APPEND tiff_requires_private " libwebp")
 endif()
 target_link_libraries(tiff PRIVATE CMath::CMath)