Former Tottenham and Hull man Marney, 29, last featured in the Clarets' 1-0 home defeat to Huddersfield at the end of February and has since been struck down by a persistent calf complaint.
But boss Sean Dyche is hopeful that the player can end a six-game absence against the Robins, when defensive duo Michael Duff (calf) and Ben Mee (knee) will miss out once more.
Mee endured a lengthy spell on the sidelines with medial knee ligament damage earlier this season but Dyche was happy to report that his problem is not as serious this time around.
"It was a shame for Ben," he said. "He has had rotten luck and now has another slight twist. We have had it checked though and it's not as serious as before, but it will still take days to settle down.
"Michael is coming out of his niggly calf problem, so we're hoping that settles down. It's probably too early for the weekend for him."
- Sports & Recreation
- Sean Dyche
- Ben Mee