The Colombian international netted 29 times in all competitions last season and has been linked with a move to several top clubs, including Brighton as Graham Potter eyes a striker.
Indeed, Morelos rejected a £30m move to the Chinese Super League last summer.
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1. Fiorentina
The Italian club are favourites at 4/1 with SkyBet to sign the striker. Photo: Pool
2. West Ham
David Moyes' West Ham are 14/1 contenders to sign Morelos during the summer transfer window according to SkyBet. Photo: Ian MacNicol
3. Lille
Ligue 1 outfit Lille are second in the betting with odds of 5/1 offered by SkyBet. The French club have already had a bid for Morelos turned down this summer. Photo: Pool
4. Borussia Monchengladbach
The German outfit have been priced at 16/1 to sign Morelos according to SkyBet. Photo: Ian MacNicol