If you are using the standard LMS filter implementation with MATLAB, I think you can do it at the time you want to obtain the output signal Y after applying your filter H to your input signal X from your noise (mixed) signal D:
[Y,ERR,WTS] = step(H,X,D,MU)
Where MU is configurable by declaring your filter H adequately:
H = dsp.LMSFilter(..., "StepSizeSource", Input port, ...)