Mr McKee, from Wellington, said he was yet to hear from Katie or source her contact details, but was now confident of tracking her down.
"It definitely looks like this will probably work - it's big.''
His Facebook post about his search was "exploding'' and feedback from people had mostly been encouraging, he said.
"Some people have been a bit suspicious which I suppose is understandable, but the vast majority is really positive. Everyone's on board.''
He believed his story had hit a nerve with the romantics out there.
"Everyone's sort of projecting their own romantic ideas or missed opportunities, and helping out - the power of social media.''
However, Mr McKee's bid was getting a mixed reaction on his Facebook page today.
Rene O'b wrote: "I can assure you all that if this girl wanted to be found (or followed) she would NOT have said find me as her last words. dude, she's just not that into you...sorry.''
However, Lauren Lisbeth Miller wrote: "I cannot handle how sweet this is. Like my eyes are watering...and I don't even know you people. Real life freaking Nicholas Sparks book. You're putting a lot of dudes to shame.''