May just need new gaskets, hose clamps,
shaft seal and/or other connections.
So take it apart and reassemble with new gaskets, insuring that you use cross tightening on the screws. Also that all of the hoses (hose clamps) are properly fitted to the
pump and any other connection is properly tightened.
solved many a leak on an engine by doing the above.
As you work on the
pump you can inspect the body of the
pump for any cracks and may need to replace the seal also.
There should be an after market rebuild kit for the
pump that is easy to acquire to do the job.