The German defender would love to play alongside his former team-mate once against but says their attacking line is strong anyway
The Japan international left Singal Iduna Park in 2012 for Old Trafford, but has failed to stamp his mark on the English champions' first team in his two years in the Premier League.
He has said in the past that he is frustrated by his situation at United and Hummels says the would be happy to line up alongside his former team-mate again.
"We would take him with open arms, of course," he told Kicker.
"Having an offensive line with [Marco] Reus, [Henrikh] Mkhitaryan and Kagawa would certainly be stylish.
"But I would not say anything about the other great players we have playing for us. The attacking midfield is probably the best part of our team without Shinji."
BVB have pledged to spend big this summer and Hummels took time to deny that his team-mates would get jealous of a marquee signing who would draw a bigger salary.
"I cannot imagine that it would be a big issue with us. In our team we are not only out for success," he continued.
"At the end of the day, everyone is repsonsible for their own contracts. Nobody forced us to sign them. We want to play good football.
"If we had a star attacker who earned more money than us, no one would feel bad about it."