Well have lost just once in their last 10 games ahead of tomorrow's meeting between the two sides, creating a seven-point gap between themselves in third place and nearest pursuers St Johnstone.
The last time the two sides met, Stuart McCall's men found the going tough at Greenhill Road, before claiming a last-gasp win, and Fir Park playmaker Law has no doubt that Saints will be well fired up for revenge.
He is also certain that easy-on-the-eye Saints will go on the attack at and buck the trend of teams coming to Fir Park to frustrate the Steelmen on home soil.
He said: "There is no way we will underestimate St Mirren. The last time we played them it took a brilliant Tom Hateley free-kick in the final minute to beat them.
"To be fair to them they had the better of the play and passed the ball really well to frustrate us for large patches of the game.
"I would say that we had the better chances and certainly worked their goalkeeper Craig Samson, who was in outstanding form.
"However, you can see from the way they have done things all season St Mirren come to play and that should make for a great game of football and, hopefully, more of an open game than we have had against some sides here."
Law added: "The lads have spoken about our home form a lot this week and there is a real resolve within the dressing room to get the right result tomorrow in front of our fans.
"They have given us tremendous backing on the road and it would be great to set them up for the festive season with a positive showing and result."
With his versatility across the middle, his range of passing and his willingness to get beyond his strikers, Law has been one of the signings of the season in the SPL.
The 23-year-old has no doubt that he made the right move in following his former Bradford gaffer McCall north of the border.
He said: "I really enjoyed the experience of working with Stuart in the past and that was a big part of me coming to Motherwell.
"When I arrived I remember people saying, even after we had made a great start to the season, that we would struggle going into winter, but that has not been the case.
"If anything we have got stronger and for me that is a testimony to the squad the manager has built at Fir Park.
"He has brought in guys like Tim Clancy, Michael Higdon, Stephen Hughes and myself and we have a bit of depth and versatility."