Polish striker Lewandowski is valued at £44 million by transfermarkt.co.uk, while Schweinsteiger is believed to be available for around £10 million.
Louis Van Gaal has been linked with superstars across Europe as he prepares to dig deep into Manchester United’s finances in an attempt to be challenging on all fronts next season upon the club’s likely return to the Champions League.
Lewandowski has 16 Bundesliga goals in 26 appearances this season and an impressive 185 goals in 340 club career appearances so far.
He joined Bayern on a free transfer last summer after leaving Borussia Dortmund at the end of his contract, and penned a five-year deal with the Bundesliga leaders so it would likely take a big offer to seal his services.
United have been heavily linked with signing a marquee goalscorer as they are reported to be looking to offload the misfiring Radamel Falcao and injury-prone Robin van Persie.
Schweinsteiger has a wealth of experience and could be a key addition to the United squad. He has won the Bundesliga a whopping seven times, as well as a Champions League and a World Cup.
A United move for the 30-year-old German could however be difficult, due to his poor relationship with Louis Van Gaal dating back to his time as Bayern Munich manager.
Atletico Madrid are also reportedly interested in both players but United will hope the lure of Premier League football could be a factor.
It wouldn’t be the first time Guardiola has moved on world class players, as he did with Zlatan Ibrahimovic during his time at Barcelona.
The Bayern manager is ruthless when it comes to change at clubs and holds no sentiment with anyone. His side top the Bundesliga and are in the quarter-finals of the Champions League, but despite that, it appears he is looking to rejig his squad of superstars this summer.
Do Manchester United need Bastian Schweinsteiger and Robert Lewandowski? Should they make moves for both?