EMPLOYEEI’m confident0Hi Google,
The heat will not melt the linoleum. Thinset doesn't stick to smooth surfaces very well. If the linoleum contains no asbestos, you can sand it to give the thinset something to bite to. If the linoleum contains asbestos, you will want to contact a local asbestos specialist and ask them for advice.
If we can be of any further assistance, please let us know.