Aberdeen expect their bid to host a test event with 300 fans against Kilmarnock to be successful.
The club said it was “expecting confirmation” on Tuesday, which would allow some season ticket holders to return to Pittodrie for the Premiership match on Saturday.
The north-east side are also confident plans to have 750 supporters attend their match with Motherwell the following Sunday will be approved.
Supporters haven’t been allowed to attend any Scottish football games this season, due to the pandemic.
A Scottish Government spokeswoman said: “No final decision has yet been taken regarding the general resumption of stadia events with restricted numbers of spectators and nothing should be taken for granted at this stage.
“There have been extensive discussions with the Scottish FA, SPFL and clubs about potential pilot events. These discussions are continuing.
“When making decisions we need to take into account the current situation regarding the prevalence of coronavirus across the country.”
Towards the end of last month Celtic were unsuccessful in their own bid to have fans attend a match against Motherwell.
The plan was rebuffed by the government, who wanted to “allow sufficient time” for test events to be informed by other events – namely a rugby match at Murrayfield, between Edinburgh and Glasgow Warriors on August 28.
September 14 had previously been identified as an indicative date for fans to return to sports stadiums across the country in restricted numbers.