Gulacsi has impressed sice joining the club on an emergency loan.
Rovers boss Les Parry said: “Peter is a quality goalkeeper so I’m pleased to be able to keep him at the club for another month while Gunnar is injured.
“He has done well for us since he has come back, has a great attitude and is a good professional.
“I’d like to thank Liverpool Football Club for allowing Peter to spend another month with us.”