Replacing timer with no neutral wire

I bought replacement for my bathroom exhaust fan. Basically what i bought was this: https://www.homedepot.com/p/Hampton-Bay-50-CFM-Wall-Ceiling-Mount-Roomside-Installation-Bathroom-Exhaust-Fan-ENERGY-STAR-7114-01/206159603 However, the fan (that was replaced by a licensed electrician) keeps cycling on and off. The electrician mentioned that i need to replace the timer switch for the fan.

So i bought this: https://www.amazon.com/Enerlites-HET06A-White-1-5-10-15-20-30-Countdown-Decorator/dp/B00IB0ZJXE/ref=sr_1_5?crid=B3E1ECT5H6H1&keywords=timer+switch+for+bathroom+fan&qid=1579763344&smid=ATVPDKIKX0DER&sprefix=timer+swit%2Caps%2C292&sr=8-5

However, when i opened the old timer i did not find a neutral wire while this needs a neutral.

Is there a way to have a timer replace the old timer . Without a neutral wire. And fix the problem with the bathroom fan going on and off.