Leeds United are set to face Cardiff City on Tuesday evening.
The defenders both picked up injuries during Leeds’ most recent match against Bolton Wanderers, and they both had to be withdrawn early.
Initially it was feared that they could be set to miss out for a lengthy period of time, but Evans has suggested that the pair could both travel to face Cardiff now.
“We’re going to wait very, very late in the day to see how Lewie Coyle is,” the 53-year-old manager said.
“The good news is, we don’t think it’s anything very serious. He was in yesterday and seems to be a lot better.
“Liam Cooper, the same. Cooper probably has more of a chance, but he’ll make the long journey down to Cardiff. So we’re not in as bad a shape, team selection, as we thought we were.”
Coyle has recently broken into Leeds’ team, and he will be eager to avoid any injury set backs as he looks to stake his claim for a regular first-team place.
The youngster has looked impressive in his initial appearances for the Whites.
Cooper, meanwhile, has been a solid defender throughout the campaign so far and his inclusion at Cardiff will be a major boost for the Yorkshire club.
Evans says that he is now targeting a top 10 finish this season and Leeds' form will have to improve if they are to meet their manager’s ambitious aim.
Leeds have won just two of their last 12 matches and their match against promotion chasing Cardiff looks set to be a tough test.