"I think we have to support Brian Lara at this stage," Webster urged West Indian cricket supporters on the Caribbean New Agency (CANA) Sport Radio programme on Wednesday.
"What he has indicated to me is that he wants to return to West Indies cricket after a break - after he has refreshed his batteries - and become the best West Indies batsman ever, that is one of his goals," Dr Webster said.
"Secondly, he is very keen to establish cooperative and harmonious relationships with all the stakeholders in West Indies cricket, the board, the players, the press, the public, and these are his two main objectives at the moment.
"I think we should just give him some time, let him sort out the problems that he has and give him a chance to come back to the game, and then assess him after that."
Lara announced his decision to have a short break from cricket last Thursday, a week after saying he was giving up the West Indies captaincy.
He led West Indies during their crushing series losses - 2-0 in the Tests and 5-0 in the one-dayers - in New Zealand last December and January.