Celtic fielded on-trial goalkeeper Stipe Pletikosa in Wednesday's friendly win over Cardiff City.
The Croatian was rarely tested in the 1-0 victory over Malky Mackay's side, but manager Neil Lennon said he will be given another chance to impress.
"He didn't have a lot to do and it would be difficult to sign him on the evidence of that but be will have another look," said Lennon.
"A short-term contract is a possibility."
The Celtic manager is looking for someone to compete with Lukasz Zaluska for the number one jersey with Dominic Cervi currently the understudy following Fraser Forster's return to Newcastle.
"We'll see what pans out over the next few days," added the Celtic manager.
"I know the season starts on Sunday but we've got a good goalkeeper in Lukas who'll hold the fort until we get another one in.
"I want another keeper and Stipe is in pole position."
Lennon also reiterated his desire to sign a new striker but said this may not happen before Celtic begin their Scottish Premier League campaign at Hibernian on Sunday.
In terms of the players who have already moved to the club, Lennon praised defender Kelvin Wilson's consistency and described midfielder Victor Wanyama as "very comfortable, very impressive".
"He's got all the things we thought he had: presence, good composure, comfortable on the ball, very strong," said Lennon.
"We think we've got a good player there."
And of full-back Adam Matthews, he said: "He's talented and he's only young so he fits the bill for what we want in that position."