You get given a pick in different brackets (Round 1, 2, end of Round 2 etc.) depending on the size of the contract, which is not officially publicised. If the pick you receive is in a "round" bracket, rather than "end of round", then you receive the pick after your current pick in that round.
So if the Bombers happen to have won the flag this season, they'd be getting pick 19 for Daniher.