The 28-year old midfielder is expected to land a permanent move to Carrow Road from West Bromwich Albion after a successful loan spell which begun in January.
With Norwich gaining promotion, Dorrans is eager to continue alongside Neil who called him down to the Championship when he arrived from Hamilton Academical in the winter.
"The gaffer has been a breath of fresh air for me and for the rest of the lads," said Dorrans.
"I enjoyed the first half of the season working under Alan Irvine but the new manager went into West Brom and it didn't really work out.
"I got the call from Alex to go down and the decision has been easy. Working with the gaffer has been incredible.
"I've worked with some great managers, like Roy Hodgson and Roberto di Matteo. But I'm looking forward to extending this work with the manager and learning from him."