Gala are said to have an agreement in place with the Reds to sign Lucas which they want finalised by Monday.
Turkish newspaper AMKclaim the deal has been stalling for two weeks and the Istanbul-based club are beginning to lose patience.
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Galatasaray have reportedly turn their attention to Bastien Schweinsteiger
The report says if the deal for the Brazil international is not completed, Gala will turn their attention to Schweinsteiger.
However, it is said the Turkish side could struggle to meet the midfielder's hefty £275,000-a-week wages.
The 31-year-old has been cast aside by Jose Mourinho since he took over as United boss.
Express Sport understands Mourinho has told the former Germany international he can leave the club.
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And the ex-Bayern Munich man has been forced to train with the United U21s and has not been involved in pre season with the senior squad.
Schweinsteiger made just 13 Premier League starts for United last season and was plagued with knee injuries.