Leeds United face Ipswich Town this weekend, before taking on Sheffield Wednesday seven days later.
Garry Monk's men are currently fifth in the table, but opened the door to be potentially caught by the chasing pack as they lost their recent clashes with Huddersfield and Cardiff City.
And while they responded with a victory over Bristol City, their position in the top six is still precarious at this stage, making their upcoming clashes with Ipswich Town and Sheffield Wednesday all the more important, especially the latter given the Owls being just one place below Leeds in the table.
And Redfearn suggested that getting through the two games unbeaten, perhaps picking up at least one win could be an excellent return for the Whites at this stage.
Leeds United manager Garry Monk
"Four points would be a good return," he told Radio Yorkshire.
"I think that's what Leeds have got to keep doing now, they've got to keep chipping away at trying to pick points up and if they do get a reverse every now and again, not to dwell too much on it, just move on to the next game.
"They've put themselves in a really, really good position and they've just got to keep concentrating on the next game in hand, which is Ipswich Town and try get the points from them."
Though the Tractor Boys have won just one of their previous seven games, their last three results have been extremely impressive, having beaten Aston Villa while securing a point against two of the division's automatic promotion chasers Reading and Brighton.
And with Wednesday also in the promotion mix, there is surely no doubt that a return of four points, or more, would restore a lot of the confidence amongst the Leeds squad that was lost in the two games preceding the Bristol City win.