Murphy has not featured for Rovers since suffering a hamstring strain in the 1-1 derby draw with Burnley at the start of this month.
"Danny Murphy trained (on Thursday) so we'll see how he is, but he ended the training session fine so he could be on his way back," said boss Henning Berg.
Fellow midfield veteran David Dunn is also pushing for greater involvement having been restricted in recent weeks as he looks to make a full recovery from a calf problem.
Berg added: "David Dunn is coming on, he's been in light training and this is maybe the first proper week that he has had training.
"With his record in terms of injuries you have to be a little bit careful with him but it's good to have him back training with everybody full-time and, of course, he is a player who can do a little bit extra when he gets the chance."
Markus Olsson is available once more after being struck down by illness ahead of last weekend's 2-0 defeat to Blackpool, where Jake Kean was a surprise inclusion in place of Paul Robinson in goal.
Berg will be unable to call on wingers Mauro Formica (foot) and Fabio Nunes (hamstring) as he looks to end a dismal run of one point from the last five matches.