Locks to the Hamlin Lane playing fields site were cut on Friday morning and the Council has reported the matter to the police.
The travellers - consisting of a number of caravans and associated vehicles - moved onto the site on Friday, forcing the cancellation of a number of football matches over the weekend.
Council Leader Pete Edwards said: "We understand the frustrations of the football clubs and are doing everything possible to clear the site. We are moving as quickly as we can but there are certain hurdles that need to be cleared before we can gain a possession order from the courts."
"We will be applying to the county court seeking a possession order from immediate effect. This may however take a few days but we are hopeful that we can get the pitches back into use by next weekend after the site has been cleared of travelers and any the site cleaned up, " said Cllr Edwards.