The Spaniard will leave Formula 1 at the end of the season after almost two decades in the sport.
Despite having ruled out the all-electric series for now, his former team-mate believes that he might reconsider.
“He was thinking about Indycar, but now I think Formula E may have a better chance of getting him,” Massa told AS Newspaper.
“The Indy 500 is one thing, but for the championship I think Fernando may look at Formula E.
“It may be in a year, but I would not be surprised if it was earlier.”
Talking of Championships, Alonso is already contracted to Toyota for the rest of the 2018/19 WEC super season.
However, that only has four more race weekends across the next eight months, including a four month gap over winter, much like F1.
Massa, who left F1 at the end of the 2017 and joined Formula E himself, said he is comfortable having left Williams at the end of last season.
“It was the right time for me,” the Brazilian said.
“Not because I was not competitive, but if I had stayed this year, finishing last as Williams is, I may have said ‘hasta luego’ (see you later) after four races.”
Alonso may join his former Ferrari partner in Formula E sooner rather than later.
According to La Gazzetta dello Sport, FE boss Alejandro Agag has offered the two-time F1 World Champion €10million to race in the 2018-2019 season.
“He wants to win Le Mans and Indy but then he will be missing Formula E,” Agag said.
“It would be a privilege to have him.”
Alonso’s current team-mate, Stoffel Vandoorne, has already announced that he will be moving to Formula E for the 2018/19 season.
— ABB Formula E (@FIAFormulaE) October 22, 2018
The Belgian will team up with Gary Paffett at the HWA Racelab team, and could he just influence Alonso into joining him..?