Kubica suffered extensive injuries, including a partly-severed right hand, in the crash in February 2011 but has long insisted he will one day return to a level of fitness and strength to allow him to compete in F1.
Ferrari had an opening in their team earlier this year after electing to dispense with the services of Felipe Massa, with Kimi Raikkonen drafted back in for a second stint.
However, Domenicali, speaking in an interview with Ferrari fans published on the team's official website, admitted Kubica - who impressed with BMW and Renault in F1 prior to his accident - had also been on the team's radar.
"We were keeping an eye on him. Unfortunately I don't think he will be back," Domenicali said.
"With his physical problem, he would struggle in certain situations which require reactivity. It's a shame."
Kubica remains involved in high-level motor sport and has turned in a number of impressive performances in the European and World Rally Championships.
His misfortune probably extended the life of Massa's time with the team, with the Pole sure to have been a prospect for the Scuderia for 2012 and 2013 had fate not intervened.
Massa's performances relative to team leader Fernando Alonso have again been disappointing this season, with the Brazilian unable to replicate the form that saw him lose the 2008 world championship by just one point to Britain's Lewis Hamilton.
An accident in qualifying at the 2009 Hungarian Grand Prix that left Massa with a fractured skull and ruled him out for the rest of that season is seen by many as the moment where his form began to suffer.
Yet Domenicali insists he always viewed Massa as a "world champion" and played down the repercussions of his 2009 accident.
Asked why he had not parted with Massa sooner, Domenicali said: "There are two reasons. From a medical point of view, there is no proof that the accident left any permanent damage, such as problems with his sight or reflexes.
"And then there's the gentility which would demand that we give a driver who hasn't had much luck the chance to show he deserves to stay with us.
"If Felipe was unable to deliver the performance we hoped for, it was mainly down to a hyper-sensitivity to a car that was too nervous at the rear, but in 2008, he almost took the title and I consider him as a world champion.
"We took Raikkonen because we wanted more."
Ferrari head into this weekend's Indian Grand Prix seemingly resigned to defeat in both world championships, with Red Bull's Sebastian Vettel 90 points clear of Alonso in the race for the drivers' title and on the brink of a fourth world crown.
Red Bull could also wrap up the constructors' award this weekend as they hold a commanding 148-point advantage over Ferrari with just four races left.
However, one man at Ferrari at least has one record to crow about this weekend after Alonso became the highest points scorer in F1 history with his fourth-placed finish in Japan last time out.
Although people will contest the validity of the record in an era where 25 points - rather than 10 - are awarded for a victory, and points are paid down to 10th place rather than sixth, it is an achievement the Spaniard is proud of.
To mark the milestone, Alonso will race in India with a special livery on his crash helmet featuring the number of points the Spaniard now has - 1571 - accompanied by the words, "F1 points World Record".