Strauss has only scored one century in 48 Test innings, but former captain Gooch feels the 35-year-old will carry on despite
his recent indifferent form.
"I don't see a guy who's thinking of retirement," he told the BBC.
"I see a guy who's determined and disciplined in making himself a better opening batsman."
Michael VaughanFormer England captain & Test Match Special pundit
"It is a lonely place when you are captaining a losing side, and you are not scoring any runs yourself. I have no question that there are many more runs in his locker. I do not think that is the end of him. It is just a question of whether he will carry on as captain."
Gooch, England's leading Test run scorer, said the England management believed Strauss would soon end his personal run drought.
"He's working hard at his game, and he is shaping his game to be better and more comfortable against the turning ball," Gooch told BBC Test Match Special.
"I see lots of improvements - he scored a 100 in the preliminary match last week and he played really well."
said after the defeat in Galle
that he had no intention of resigning in the middle of a series, and Gooch thinks the England skipper is still ambitious and focused on improving the team.
"I know from my chats with him last summer, he wants to make a big contribution towards England in the last phase of his career and I see him working every day to make improvements," he said.
England go into the second Test needing a win to retain their place
as the best Test team in the world rankings.
They may be without the services of Stuart Broad, who is undergoing a scan on Friday morning on the ankle and calf injuries he sustained in the Galle defeat.
If Broad is not fit, Tim Bresnan or Steve Finn are the most likely replacements for the second Test, which starts on 3 April.
This page is best viewed in an up-to-date web browser with style sheets (CSS) enabled. While you will be able to view the content of this page in your current browser, you will not be able to get the full visual experience. Please consider upgrading your browser software or enabling style sheets (CSS) if you are able to do so.