Can make search Makefile in VPATH

[pacia pacia]

hi, friends,

Suppose VPATH=$DIR1:$DIR2:$DIR3, we know that make will search source
files in $DIR2 and DIR3 if they are
not in $DIR1. My question is if make can treat Makefile in the same
way? i.e., if Makefile is not in $DIR1, will
make search $DIR2 and $DIR3 for Makefile?

I had a simple test, it looks like make does not support this. I know
that nmake of bell-labs(not nmake of Microsoft)
supports it. This feature is really useful, I'm a beginner of make so
I'd like to confirm.

Regards,
pacia