The Times is reporting that Mourinho is still looking to invest in more playing staff in the current transfer window.
Manchester United are said to be keeping tabs on Slovakia defender Skriniar but Inter Milan are thought to be demanding in the region of £60m for the center-half.
The 20-time English champions are prepared to rival Liverpool for France and Lyon playmaker Nabil Fekir after the 24-year-old’s proposed move to Anfield collapsed earlier this month.
The Times also disclosed that the Portuguese head coach is interested in a potential deal to sign Bayern Munich and Poland striker Lewandowski to provide Romelu Lukaku with competition for a starting spot.
The Red Devils finished in second place in the Premier League table last season after securing their best finish since Sir Alex Ferguson’s retirement in 2013.
Man United lost 1-0 to Chelsea FC in the FA Cup final at Wembley to end the season without silverware.