Sterling was dropped for Thursday's 7-0 rout of Montenegro after clashing with England team-mate Gomez in the Three Lions' training base canteen.
It is believed Sterling was unhappy with Gomez following an altercation with the Liverpool defender during City's Premier League defeat at Anfield last weekend.
Although Sterling was left out of the Montenegro game as punishment for his attack on Gomez, Southgate has confirmed the winger will return for England's final Group A fixture.
Sterling and Gomez, left with a scratch under his eye after the incident, are said to have patched up their relationship, but the centre-back was jeered by England fans at Wembley when he came on as a substitute against Montenegro.
Both Southgate and Sterling expressed their support for Gomez and criticised the booing supporters, with the England manager reportedly comforting the shocked 22-year-old and his family after the match.
Now Southgate could include Gomez against Kosovo in a show of support for the Liverpool player.
With England already guaranteed to qualify for Euro 2020 in first place in their group, Southgate already planned to make changes, although he is keen to ensure England finish with a win as they eye a top-six seeding in next year's tournament.
"We will make some changes, for sure, but the seeding in the group could be critical and we know it's a big night for the Kosovans," Southgate said. “It's a shame for them that they're now out of this part of the qualification, although they've still got the play-offs in which I think they'll be a huge threat in that format. So, it will be a good test for us because it will still be a lively environment. The enthusiasm for the game is high and we want to finish the group with as many points as we can."
Liverpool captain Jordan Henderson could return following a one-match ban, while Southgate has to decide whether to keep faith with Ben Chilwell ahead of Danny Rose at left-back.
Harry Kane may have scored a hat-trick against Montenegro but it was Leicester's Chilwell who was named England's man of the match following a fine display in which he provided three assists in the opening 24 minutes.
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