I am guessing this is the Walker no shine tape. You shouldn't have any problem. I apply the tape to the lace except at the hairline. If you are applying the tape to the lace then a firm press through the backing should be enough to get a good attachment.
At the hairline I apply the tape to the head and lower the lace onto this. To help secure it I use a comb lightly sprayed with alcohol and push the lace down onto the tape with this.