Celtic said only supporters who have a ticket for the 60,000 sell-out match should visit the stadium.
The club also urged supporters to arrive at the stadium as early as possible.
Hearts, who have been league leaders since September, will have the backing of fewer than 800 supporters at Celtic Park.
Celtic also confirmed it had held talks with Glasgow City Council.
The club statement continued, external: “We understand that the pressure placed on the city on such occasions is immense.
“We know there have been instances in the past which have proved difficult for the local community in terms of movement, obstructions and impact on emergency services.
“Glasgow City Council has committed to working together with football clubs on facilitating potential celebrations which would be meaningful to fans and less impactful on communities.”
“Until these options can be delivered, we need to play our role in trying to relieve some of the pressures.”
The club also highlighted that the Cancer Research 10k Race for Life event, which will take place on Sunday, required “significant planning and support from the city”.
