Australia's bowlers, including Lee, squad took time out to pick McGrath's brain when he was in Worcester earlier this week - the venue for the current four-day game with England Lions.
Lee is now the senior statesman of the attack at the age of 31, but wants the advice given by McGrath, who took 563 Test wickets, to be heeded.
Lee, who took five wickets in a deadly seven-over spell against the Lions, said: "I had a really good chat to Glenn the other night. He offered his advice.
"He was floating through this town (Worcester) so we bled him for as much information as we could get.
"The boys were like sponges around him and so we should be. The guy has been an amazing player with so many Test wickets.
"It blows my mind how a fast bowler can be around for that long and take that amount of wickets.
"We tried to understand what he has done and now my role is to help a few of the younger guys in the squad coming through with my experience.
"We just asked him why he was so successful when bowling over here and he gave us a pep talk and a few things to work on. A few things he said definitely helped me today."
The Lions were coasting at 172 without loss, with Stephen Moore hitting 120, before Lee turned the game around with his rapid haul of wickets.
He said: "I now see myself having two roles, to get early wickets and, if that doesn't happen to come back with the older ball when it is reverse swinging."
Moore admitted that himself and fellow opener Joe Denly had targeted Australian spinner Nathan Hauritz.
He said: "Hauritz got the ball to turn a little but we went out there with a game plan to make life difficult for him and to keep on top of him.
"Is spin Australia's Achilles heel? I think it could be. He is a nice bowler but without that 'x-factor' Shane Warne had.
"He is an area therefore you can try and attack. We felt that especially as they only had three quick bowlers and with there being a lot of pressure on them if he didn't hold up an end."
Moore admits his chances of breaking in to the senior England set up at this juncture are limited despite his century.
He said: "The England side is pretty settled at present and I've got full faith in these guys to do a job this summer.
"But if the call comes we've got to make sure we're ready to take any opportunity that may come our way."