The Three Lions sit top of Group H, one point clear of Ukraine, and require a win over Waldemar Fornalik's men to be sure of automatic qualification.
"The one thing that anyone would want to guard against, and I'll be saying it now until I'm blue in the face, is complacency," Hodgson told reporters, "but I don't imagine it will be there.
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"I told them to use their 'day off' wisely and then to come back on Sunday raring to go, which gave us two days of good preparation before Tuesday."
The 66-year-old admits that he was "harsh" with his players following their 4-1 victory over Montenegro on Friday evening but believes that his words were taken on board.
"I think they knew they'd done the job as they thought they should do it, and that's a great start, but they also recognised it was only half the job," he explained.
"So it was a mood of quiet satisfaction but I was very keen to point out one or two things to them, so it wasn't anything of a celebratory mood. I was probably quite harsh.
"Sometimes it's easier to be harsh when people have done well and harder to be harsh when they haven't done well."