Rangers have so far failed to pay for the policing of their first game since entering administration.
And Strathclyde Police are warning they will only agree to police future home matches at Ibrox on a "match-by-match basis".
The crisis-hit club owe the force around £17,000 for working at the Kilmarnock game last weekend.
Police say they have an "excellent" relationship with administrators and they "currently do not foresee any problems policing future matches at Ibrox."
However, on Friday The Herald reported that Chief Constable Stephen House told a meeting of the Strathclyde Police Authority: "We won’t police another match at Ibrox until we’ve been paid for the last match. We expect to be paid soon."
On Friday, a police spokeswoman said: "There has been some reporting today in the press indicating that the policing of future matches at Ibrox is in jeopardy.
"At the meeting of Strathclyde Police Authority yesterday, the Chief Constable did confirm that we are working on a match-by-match basis. However, he also said that we have an excellent relationship with the administrators, and we currently do not foresee any problems policing future matches at Ibrox."
Rangers also owe Strathclyde Police a historic debt of almost £52,000 for match-day covering three home games from before they went into administration last Tuesday.
The home game against Kilmarnock last Saturday only went ahead after police were given guarantees by administrators Duff and Phelps that they would receive payment for officers working it.
A spokeswoman for Strathclyde Police said: "At the time of Rangers Football Club entering administration, the force was owed £51,882. These were funds which were not marked as outstanding but covered police matches within an agreed payment plan period.
"We have had discussions with the administrators in terms of payment of accounts both for previous and forthcoming matches.
"We are working on a match-by-match basis in terms of policing Rangers Football Club home matches. In terms of the money owed to us for the period before the club went into administration, we expect to be treated as a creditor by those in charge of the club’s finances."
On Friday, administrators Duff and Phelps said that all Ibrox games would go ahead.
David Whitehouse, joint administrator, said: "We have had a number of constructive and positive meetings with Strathclyde Police and we can assure fans that matches will continue to be played at Ibrox.
"Agreements have been reached regarding policing games at Ibrox and payment arrangements have been put in place. We would like to thank Strathclyde Police for its continued assistance and co-operation.
"Matches will be played at Ibrox for the rest of the season so we urge all fans to keep coming along and continue their tremendous support for the club at this difficult time."
Rangers next home game is against Hearts on March 3 before the Old Firm match against Celtic is on March 25.