The 23-year-old left St James's Park on loan in January.
The Frenchman left Newcastle in January after a trying first six months with the Magpies, netting once in 16 appearances in all competitions following his £13 million summer move from the Ligue 1 giants.
Steve McClaren, who brought him to Tyneside, has since been replaced as manager by Rafael Benitez in a move which complicates the 23-year-old's situation, given that it remains to be seen whether or not the new Spanish boss rates him.
Nevertheless, Thauvin has revealed that he is determined to "succeed" with the North-East club, suggesting that he does not intend to stay in his native France beyond this summer.
“I have a four-year contract with Newcastle, the situation is very clear for me, I want to succeed in England,” he is quoted as saying by The Chronicle.
“My transfer gave Marseille a lot of money, I thought it was good for me and for the club.”
Marseille do not have the option to buy Thauvin outright, which may look like a masterstroke by Newcastle if he returns and fulfills the potential that McClaren felt that he did have.
He has made 13 appearances for Marseille since returning, though his return could not have started off worse after being sent off within 10 minutes of his second debut.