York shipped four goals for a second successive match when they lost to in-form Wycombe Wanderers.
The Buckinghamshire hosts romped to a 4-0 victory just seven days after Morecambe enjoyed a 4-1 success at Bootham Crescent.
Just as worryingly, the Minstermen are now without a win since New Year’s Day when Burton were beaten 3-0.
Afterwards, a determined Mills said: “We are committing suicide at the moment. We’re giving goals away and don’t look like scoring and, at the end of the day, that’s a recipe for disaster.
“But we will sort it out because that’s our job. It’s a testing time and testing for me as manager but I am going to come through it.”
York fell behind just three minutes into their Adams Park debacle when Scott Kerr gave away the ball to Dean Morgan and then tripped the home striker, who dispatched the resulting penalty.
When Jamal Fyfield conceded a second spot-kick on the stroke of half-time after dragging back Joel Grant, Morgan converted again from 12 yards.
Grant added a third on 59 minutes when he capitalised on a mistake by Daniel Parslow to charge into the penalty area and beat Ingham.
After Jason Walker had missed a glorious chance for York, Wycombe centre-back Dave Winfield completed the rout by heading in from Josh Scowen’s corner.
Alex Rodman went on to force Jordan Archer into his only save of the afternoon with a weak 89th-minute effort.
Wycombe: Archer; Harriman, Stewart, Winfield, Dunne; Grant (Andrade, 63), Lewis, Scowen, Wood; Morgan (Kuffour, 77), McClure (Ainsworth, 79). Unused substitutes: Harrison, Johnson, Spring, McCoy.
York City: Ingham; Obeng, Smith, O’Connell, Fyfield; Parslow; Kerr (McDaid, 61), Potts (Rodman, 46), McLaughlin (Chambers, 46); Blair, Walker. Unused substitutes: Musselwhite, Reed, Challinor, Allan.
Referee: Michael Bull (Essex)
Man of the match: Joel Grant.