Alonso has been increasingly frustrated with McLaren’s sub-standard Honda engine over the last three years and only agreed to stay for 2018 after they had done a deal to replace the Japanese manufacturers with Renault.
The Spaniard even missed the Monaco Grand Prix 2017 to take on the famous Indy 500, where he believed he had a better chance of winning.
The switch to the US was part of Alonso’s plan to complete motor sport’s ‘Triple Crown’: Monaco Grand Prix, Indy 500 and 24 Hours of Le Mans.
Alonso has already confirmed he will take part in the 24 Hours of Daytona but has now said that he will be adding several more races to his schedule.
“For me, I would race every weekend in any car in any country,” Alonso told Sky Sports.

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“Obviously that would be difficult for McLaren to allow me to race every weekend, but I think two or three weekends on the year [I will race] in a different series.
“So at the right time I will speak with the team and we’ll see what happens.”
McLaren team boss Zak Brown was part of the driving force behind Alonso’s Indy 500 foray earlier this year.
And the American former racer seems more than happy to facilitate the two-time F1 world champion’s wanderlust further in 2018.
“If Fernando would like to do some additional racing that doesn’t compromise our Formula 1 efforts then we’ll be open to that conversation and flexible,” Brown said.
But Brown has ruled out McLaren, who were able to use Alonso’s Indy 500 debut as a dipstick for whether they would join the series full-time, running an IndyCar team in the immediate future.
“We do have a desire for McLaren to race in Indy cars in the future,” Brown added.
“We need to make sure when we get involved in activities beyond our Formula One program that first, it doesn’t detract from our Formula One efforts.
“Second, we [have to] be competitive, and third, it has to be commercially viable.
“With all that we have going on right now, spending much time thinking about [IndyCar] would detract from our Formula One efforts, so I’d say we’re years away from fielding an IndyCar team.”