The Liverpool defender has been out injured for the last eight months.
Ibrox side Glasgow Rangers, Wolverhampton Wanderers, Derby County and Brighton & Hove Albion are reportedly interested in signing Hibernian's Cummings.
Queens Park Rangers and Hull City are reportedly interested in signing Isaac Hayden from Arsenal in the summer transfer window.
Southampton have signed a number of players from Celtic in recent seasons.
Liverpool are set to be without Philippe Coutinho for an extended period, after he suffered an ankle injury at the weekend.
Leeds should move for Leicester's Polish international Bartosz Kapustka.
Trader goes nuts!
Ibrox side Glasgow Rangers did not have the most success in the transfer window last summer.
Aston Villa had won just one Championship match when Steve Bruce took over from Roberto Di Matteo.
Liverpool are due to face Leeds United in EFL Cup action later this evening.
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Could Tottenham Hotspur manager Mauricio Pochettino take charge of Real Madrid or Barcelona in the future?
Eddie Nketiah scored a hat-trick for Arsenal's under-23 side.