The Brakes suffered a late hammer blow on Saturday as they went down 3-2 at home to Darlington.
Holleran’s men, who were promoted from the Southern Premier last season, are now just three points above the bottom three.
Leamington travel to bottom club North Ferriby United on Saturday and the Brakes boss thinks his side will need to win six more games to stay up - and he’s positive they can.
Following the late Darlo defeat, he said: “We’ve been the ones scoring the late goals in recent weeks but now it’s happened to us. It’s not ideal but we’ll take a lot from it.
“There’s 14 games left and they’re all going to be big ones. You know you need to get to around 48 points and nothing will change that. We probably need around six wins and a few draws and I think we’re capable of doing it.
“The strength of the League is phenomenal. You saw the celebrations from Darlington after coming here to Leamington. We’ve come a long way and we need to make sure we stop here.
“We were hoping we could use last week to kick on a little bit and put a bit of daylight between us but it hasn’t quite worked like that. We’ll brush ourselves down like we’ve had to do many a time in this League and go again.”
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