Help with teething baby

Emma • Baby #1 born 12.01.2017 Baby #2 born 17.01.2019 Both beautiful boys 💙

After washing my hands or course I run my finger very lightly over my babies gums to feel for teeth as he's been constantly sucking on his fists and fingers and shoving his finger right to the back of his mouth....as I got to the back right he started to cry and took ages to settle to sleep....he was really crying to, luckily he's asleep now.

My question is, is he teething now?

First baby so I'm unsure what to look out for.....

Thanks.