Greer limped off late on during Tuesday’s 2-0 defeat at Rotherham and Seagulls boss Chris Hughton confirmed the central defender will miss the Rovers match.
He said: “He’ll miss the game but it’s very slight. The good news is that it’s one where it’s more of a neural one than a specific injury.
“He’ll miss Saturday but we’re very confident he’ll be fit and available for the following Saturday.”
The Seagulls will otherwise be at full-strength, apart from the longer-term injured trio of Gaetan Bong, Liam Rosenior and Uwe Hunemeier.
Of those players, left-back Bong is closest to returning and Hughton said: “From what we regard the longer-term ones, Gaetan would probably be the closest. He’s out doing some good running at the moment and some ball work, which is very encouraging.
“Our initial thoughts were for him to return back to training with the group towards the end of this month or very early in February. At the moment, he’s had no problems and we certainly look forward to getting him back.”
Central midfielder Richie Towell, who signed from Dundalk and made his debut in the FA Cup at Hull last Saturday, is also pushing to get into the squad.
Hughton said: “I think that, sometimes, the difficulty when you have someone coming in at the time which Richie did, when you’re playing a lot of games, is the type of training that you’re doing can be quite sporadic and not so many 11 versus 11s, as such.
“Certainly, on the day to day, he’s done very well and has settled in very well. Of course, it’s about bridging that gap between perhaps the level that he’s been playing and this level.
“At the minute, he’s looked very good in the training. We brought him in because of what he has showed over the last couple of seasons at the level that he has played and, yes, he’s certainly pushing to be involved.”
Looking ahead to the Blackburn match, Hughton said: “They’ve got a very settled team, which is something to their advantage.
“In Jordan Rhodes, who perhaps hasn’t got the goals of late that he is used to getting, they’ve certainly got one of the best strikers in the division.
“And in Craig Conway and Elliott Bennett and Ben Marshall, you’d expect them to get a lot of crosses into the box, so it’s never an easy game at Blackburn and I certainly wouldn’t expect one.”
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