Hayne has yet to make a decision on his future but has now met twice with the ARU about the potential of joining the Waratahs in Super Rugby, while he also has big offers to return to the NRL.
McKee believes Hayne has the necessary skills to transition from a league fullback into a rugby No.12, the same position former NRL star turned All Black Sonny Bill Williams plays.
"He could be a very good No.12, people think of him coming from league as going from fullback to fullback, but I think he could work well at inside centre," McKee said.
"Jarryd is a very skilful footballer. He really understands the game in terms of manipulating the defence.
"The important thing is he has got a good understanding of playing close to the line, and being able to use a variety of plays.
"We know he is quick, but he is also a very strong, powerful player.
"It will be interesting to see where he eventually plays and what position."
McKee, who has the full four-year term to prepare Fiji for the 2019 World Cup in Japan, said he is excited about the team's potential.
"We have got a good core group of players around 21, 22 years who are just starting to hit their stripes.
"There are a number of Sevens players that post Rio Olympics will switch over and I expect them to make their mark.
"Previously, Fiji has tended to start planning for World Cups 18 months out, whereas this time we've got the full four years.
'We're going to have a lot of talented players and good depth in our squad."