The Swede is edging closer to a comeback, having worked hard on his fitness.
Ibrahimovic suffered a cruciate ligament blow in April but he is posting videos showing his knee looking strong.
His £75m replacement up front, Lukaku, has started life well at Old Trafford, scoring in successive games against Real Madrid, West Ham and Swansea.
But Pardew believes the experienced and classy Ibrahimovic is someone Lukaku can really learn from to help build his own game.
“He looks like Manchester United's No 1 striker, he plays like Manchester United's No 1 striker. But he needs Zlatan Ibrahimovic to teach him a few old tricks.
“If United announce that Zlatan has signed on again later this week, it should be a relief for Lukaku.
“They could play together, but also it could take the weight off his shoulders. He will tire in what could be a long campaign and Zlatan can show him how he can lead the line.