The club say they have been given assurances that members of the 'ultras' group, who have been the focal point for singing and displays at Parkhead in recent seasons, will halt "unsafe behaviour within the stadium".
The Hoops hierarchy moved to close section 111 and disperse the Green Brigade around Celtic Park on August 5 after warning supporters over several issues last month in the wake of a UEFA disciplinary charge relating to the use of fireworks at their Champions League clash with Cliftonville.
In a statement, a Celtic spokesman said: "Celtic Football Club announced today that it has suspended the relocation of season books for supporters within Section 111 at Celtic Park.
"Following extensive and positive discussions with supporters' representatives for the section, the club has received assurances relating to previously raised safety concerns and unsafe behaviour within the stadium.
"Celtic has engaged with the Glasgow City Council safety advisory group regarding this matter and they have noted these assurances. This matter will be monitored on an ongoing, match-by-match, basis by both the club and the safety advisory group.
"Celtic Football Club would like to reiterate its commitment and responsibility to ensuring the safety of everyone who visits Celtic Park. It is our absolute priority.
"The club is pleased to have engaged in positive dialogue in relation to this matter. We thank the safety advisory group and supporters' representatives for their continued co-operation and we look forward to working together to ensure a safe environment in the stadium."
Celtic's initial decision prompted the supporters' group to dub the club's action ''pathetic'' while also threatening legal action.
Celtic insisted their action came amid stated concerns from the safety advisory group, which guides the city council on safety certificates, and fears that the stadium could have its capacity cut or even be closed.
Among concerns about behaviour in the section were ''overcrowding, moshing, body surfing, lateral movement and broken seating''.