The two collided while disputing the lead with 18 laps to go during the Turkish Grand Prix on 30 May.
Vettel went for the inside of Webber, who had given him only just enough room. Vettel then turned towards Webber and the two collided.
Webber, who has signed a new contract to keep him at Red Bull until the end of 2011, said he had no concerns about the team's immediate reaction to back Vettel after the crash.
Adviser Helmut Marko - a close confidant of Dietrich Mateschitz, the boss of the Red Bull soft drink company - said after the race that the crash had been Webber's fault.
And team principal Christian Horner, who was seen putting a consoling arm around Vettel in the immediate aftermath of the collision, also implied that Webber had been to blame.
In a BBC Sport interview this week, Horner backtracked from that position, saying it had been a mistake made before all the facts were known.
Vettel continued to insist on Thursday, as he did in a BBC Sport interview on Monday, that he was not to blame.
No team orders at Red Bull - Horner
Horner and Marko's statements have been interpreted as meaning that Vettel is favoured within the team. But Webber, also speaking exclusively to the BBC, said he had no suspicions about the team's motives.
"I've been round the block, mate," Webber said. "I've got thick skin.
I know that people sometimes are put in a difficult position.
"At the time, Christian had come out quickly people took some positions. He might have attracted criticism for what he did on the pit wall.
"I might be less emotional, I might not need a cuddle but that's how things are different.
"I'm absolutely comfortable with my relationship with Christian. For us to think you have to have a seamless relationship for five years and for what we're challenging for - of course they'll be some humps and bumps along the way and that's normal because there's a lot at stake. I have nothing to be concerned about."
And Webber said he was absolutely confident that he would get an equal chance to fight for the title with Vettel for the rest this season.
Asked if there was real equality at Red Bull, Webber said: "Yep absolutely.
"The team have been sensational in giving me every opportunity to fight as hard as possible. We produce all the parts, turn up at the track and off we go racing. There's absolute clarity with engineers - and the best thing I can do is keep doing what I'm doing as momentum will hopefully be something I can keep doing.
I am comfortable with it and everyone out there should be and get over [it]
Red Bull driver Mark Webber
"The last thing we want is friendly fire, we know we have some great rivalries out there and McLaren were pretty strong in Turkey and I think they will be strong at the next two races but we're looking forward to the fight.
"I am comfortable with it and everyone out there should be and get over [it]."
Webber said he and Vettel would try to ensure a similar incident did not happen again, but he added: "We've had a chat. Seb has his opinion and I have mine.
"I guarantee you that next time it might be a little bit different how we handle things but not massively because we need to race.
"All the fans need to take their hats off [to Red Bull for allowing us to race]. It's a real fine line of us being able to race each other hard and fair and Turkey was a track that leant itself to a leader being exposed to a slipstream and it happened."
And he said he was confident the incident and its fall-out would not affect his momentum going into this weekend's Canadian Grand Prix, where McLaren are expected to be particularly strong.
"You dream you will win every single race and think it's going to be easier for us," Webber said.
"But I'm more than accepted in my head that nothing is forever and we'll have weekends when we have to scratch results out and it could be this weekend in Canada and people will say Red Bull have lost it because of what happened in Turkey but that's not the case because we'll come here and o do our best and we'll do the same in Valencia.
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