Kenmore Dryer starting issue

Hi. Have a Kenmore 800 Dryer - Model 110.69822801 and it is having problem starting. If I set the timer and hit the start button - nothing happens. However, I have found that if I push down on both the timer and start button and hold for a few seconds and let go one at a time - I can get it to start. Know it’s a matter of time before it quits working. Has anyone ever heard of something like this. Is it likely the timer that is the issue? Looking for thoughts and advice.