According to Real Clear Politics, Obama now has 1,957 delegates – just 68 short of the magic 2,025. Obama picked up 42 from Oregon and Kentucky to 53 for Clinton.
86 delegates remain from two states and a territory. Clinton will probably pick up more than Obama due to Puerto Rico, but assume 50/50 then that puts Obama to exactly 2,000.
So he needs 25 more super delegates after that. There are 209 yet to pledge so that should not be an issue. His campaign team will deserve to be sacked if on the day of the last primary (3 June) he can not announce two dozen super delegates. And finally it will be over.