Evans' assessment of Leeds' first two league games does not match Monk's.
Monk replaced Evans at Elland Road in June, with the Scot's short-term contract coming to an end.
The latter led Leeds to 13th in the Championship last term, having picked them up in 18th position. However, despite adding eight new faces prior to Saturday's home defeat to Birmingham City, Monk is yet to register a single point since taking over.
Leeds players after their opening day hammering at Queens Park Rangers
Speaking to TV Yorkshire on Monday, Monk called for people not to get carried away with the Whites' poor start and to "focus on the reality of the situation".
The 37-year-old later conceded his side should "never have lost" against the Blues, believing them to have been unlucky.
However, Evans does not appear to agree with that assessment.
Responding to Alan Brazil's suggestion that Monk (below) is in need of a win, sharpish, the 53-year-old replied: "Yeah he does. I went down a few times when Garry was going through a difficult time at Swansea and as much as the Swansea fans are very supportive they got a bit restless.
"But I’m sure Garry will never have felt the heaviness of a manager needing a result than he will at Elland Road, especially this evening after, it has to be said, not only two results that aren’t good but the performances, in the main, that were not so good either."
Monk insisted Leeds will improve once he adds some experience to his ranks, and Tuesday's capture of Sunderland midfielder Liam Bridcutt should go some way to achieving that aim.
However, Evans, who signed the 27-year-old on loan in November last year, said a permanent deal should have been sorted far earlier.
"Liam Bridcutt we had on loan last season," he added. "He was simply sensational for the team and if I’m honest that business should have been done in the summer months, back in June or July."