Wilfried Bony's double, the second of them from the penalty spot in injury-time, took the Welshmen to 36 points, six clear of the bottom three with three games remaining.
However, Monk is refusing to accept that the job is complete.
He said: "Look, I'm not going to make it up, of course the boys were delighted. But I think they realise we are not safe, we are not mathematically safe.
"It's not the point for us, the point is that we perform well in these last games and we finish the season strongly because it's been a poor season for us for the standards that we have set and we are not happy with it.
"We are not happy at all with our league position, we are not happy with the way we have been so inconsistent this season and we want to put things right.
"This goes some way towards doing it, but we have got three other games to make sure that we really finish strongly and send a message for next season."
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