The London Evening Standard says talks are already underway and an agreement will be reached within a few weeks.
Gomes' contract runs out at the end of next season, although it already has an option to extend it by another two years. Spurs are determined to tie key players to long-term deals and Gomes' new agreement will also include a clause to make it longer.
Gomes has impressed significantly since then and played a major role in helping them finish in the top four of the Premier League for the first time last season.
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