"I won't name names and I won't comment on speculation," Carlisle manager John Ward said. "But I can assure supporters that I am working very hard to try and improve this squad."
Elding was one of seven players left out of the Leeds squad for their pre-season tour of Ireland.
Crewe Alexandra boss Steve Holland is understood to be still keen on bringing the former Boston, Kettering and Stevenage forward to Gresty Road despite two previous failed attempts.