Leeds United won against Preston North End on Tuesday and will face Sheffield Wednesday this evening.
Bamford scored twice for Leeds in their 2-0 victory over Preston away from home at Deepdale in the Championship.
Former Leeds central defender Kilgallon, who is on the books of Hamilton Academical in the Scottish Premiership at the moment, has praised the 25-year-old ex-Nottingham Forest and Middlesbrough striker.
The 35-year-old former Sunderland and Blackburn Rovers centre-back has also hailed Leeds for their performance against Preston on Tuesday.
Kilgallon said on BBC Radio Leeds United about the win for Leeds: “It was huge. As soon as they got their man sent off, Preston, I just noticed something about the team. It set off a killer instinct.”
Kilgallon added about Bamford: “They (the fans) will be loving him at the minute. I think he brings a bit of class up there.
“I think he gets into positions that centre-halves don’t want to be in, and he is very clever. I think he will do very well until the end of the season.”
Leeds will return to action this evening when they take on Sheffield Wednesday at Elland Road in the Championship.
Wednesday cannot finish in the top two of the league table this season, but the Owls are very much in the running for the Championship playoffs.
Bamford – who has made 11 starts and seven substitute appearances in the Championship for Leeds so far this season, scoring eight goals and providing two assists in the process, according to WhoScored – has given his thoughts on the match and on Wednesday manager Steve Bruce.
Bamford told Leeds Live: “I think you knew when Steve Bruce took the job what kind of team they’d be.
“He did a great job with Villa last year and so I think taking that into Sheffield Wednesday – obviously they’ve got a good group of players, they’re going to be organised and it’s going to be a tough game but hopefully we’ll do the business.”
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