Wasps have been no stranger to raiding Welsh regions having already signed Andy Powell from Cardiff Blues earlier this summer while also been linked with Gavin Henson.
But while confirming that the English club had again been attempting a cross-border raid the Welsh region were quick to insist Bishop is going nowhere.
"We were aware that contact was made and discussions were had," said an official Ospreys statement.
"It was brought to our attention and it has been dealt with formally.
"The issue was raised with the Welsh Rugby Union. The response will stay between us and them and the matter is closed."