The forward had not found the net for his country since 2017 and admitted that the drought was on his mind
Ciro Immobile finally broke his drought for Italy, scoring his first international goal in two years to give his side a 59th-minute lead.
They were pegged back by Teemu Pukki's penalty 18 minutes from time, but Jorginho secured a sixth win from six Group J games after 79 minutes, slotting home another spot-kick.
The Lazio striker admitted the barren spell played on his mind but said remaining clam was the key to him finding the back of the net again in international football.