The Leeds captain has missed the last two games through injury.
Leeds boss Steve Evans is willing to give Sol Bamba every chance to prove his fitness before making a decision on whether to include him or not for the upcoming Yorkshire derby with Hull City, the Yorkshire Evening Post report.
The Whites' captain has missed the club's last two games after he fractured his toe during the international break, and Evans confirmed that the 30-year-old will be given more time to stake a claim for a place in the side.
"We're not so sure about Sol yet and we'll give him an opportunity to show us tomorrow that he's fit," he said.
"Really it's just about healing time and a question of time for the big man.
"When he went out we were told around three to four weeks and it's three weeks tomorrow so we've still got a bit of hope and I know the medical department have," he added.
Since Bamba sustained his injury, the Elland Road outfit have fallen to consecutive 1-0 defeats, including a home loss to then bottom side Rotherham United, and now sit 17th in the Championship, just four points above the bottom three.
On Saturday, they will be coming up against one of the form teams in the division. Although Steve Bruce's men were defeated by promotion rivals Derby County in their most recent league game, they were previously on an unbeaten run that stretched back 11 games.
The fact that their goals have been shared among several players highlights that Evans' side will have to be on their game, as keeping one Hull player quiet will not nullify their goalscoring threat completely.
And with Giuseppe Bellusci putting in some questionable performances in recent weeks, it would be a major boost for United if the skipper proved his fitness in time to potentially partner Liam Cooper at the heart of the back four.