Graham scored 21 times for Swansea in his season and a half in south Wales, before making a £5.5million switch to Sunderland at the end of the last January transfer window.
"It will be great to see Danny again," said Britton. "Things probably haven't worked out on a personal level for him as well as he'd liked in the last year.
"But he was a great lad and he did fantastically well for us in that first year in the Premier League. He was a big character as well. Everyone will be delighted to see him and I'm sure the fans will give him a good welcome back.
"Twelve goals for a promoted team in the Premier League is a fantastic achievement.
"Those goals played a massive part in us staying in the division. We're thankful for everything he did and I was gutted as a team-mate to lose him. But that happens in football.
"We'll still have to watch out for him even though I know he hasn't scored.
"I want to see my old mates do well, but when you come up against them then you don't want them to do so well.
"Hopefully he doesn't score on Monday and then he scores in the next game."
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