The striker is still being paid big wages by his former club.
The Eagles are keen to add a forward to their ranks in the January transfer window, having suffered in that department so far this season.
They have currently managed just 23 goals in 22 games this season, the fourth lowest tally in the division and worse than relegation threatened Newcastle United and Sunderland.
Their last five games have seen that problem cost them points, with them having failed to score in any of them and losing three times in that time.
They have identified a number of targets to solve the issue, with Emmanuel Adebayor thought to be among them.
He left Tottenham in September but his contract doesn’t expire until the summer and the report claims Spurs are still paying his £102,000-a-week wages as a result.
They would be willing to pay £25,000-a-week should he move to Selhurst Park, meaning Pardew’s side would have to pay him the £77,000 difference, reports the Mirror.
That is putting them off finalising a deal, with them preferring to take him in the summer as a free agent, when they could also give him a full pre-season training regime.