Evans is under serious pressure to resign because of Bloodgate and the subsequent cover-up, events which have dominated the headlines throughout the summer.
He will discover by the end of the week if he is to face any further action from the Rugby Football Union following allegations the club tried to cover up the full truth of the saga, which came about after Quins attempted to fake a blood substitution in last season's fateful Heineken Cup quarter-final against Leinster in April.
Whether he goes the same way as ex-Quins director of rugby Dean Richards and the club's former chairman Charles Jillings, both of whom resigned as a result of Bloodgate, remains to be seen.
Copsey, given his track record, would be the ideal successor to Evans.
Wasps today hailed Copsey for overseeing the "seamless" transition of the club's ownership structure.
Businessman Steve Hayes is now in charge, with a new-look board including executive chairman Mark Rigby and director Lawrence Dallaglio, the former Wasps and England captain.