The 26-year-old has endured an injury-hit campaign so far but has started the last five games scoring three goals, coinciding with a Palace revival which sees them now only in the relegation zone on goal difference.
However, Ambrose suffered a dead leg in the 2-1 defeat at Leeds on Saturday and has been restricted in his preparations for the Tigers clash.
He told the Croydon Advertiser: "At Leeds there was a whack on the leg just above my right knee. I felt it seizing up but I wanted to be part of what we thought was going to be a big win and managed to get through the 90 minutes.
"Then on the Sunday it had swollen up like a balloon and the blood was draining into my knee. It has settled down a bit now. It will still be a race to be ready for Saturday but that's what we're aiming for."
He added: "It has got to go down as the most frustrating season of my entire career. I've never had a period like it. At the moment I'm hardly training. I play on the Saturday, then it seems to take my body a whole week to recover."