"The (Sri Lankan) selectors met this afternoon after Jayasuriya indicated a willingness to make himself available for Tests again and decided to send him to England as soon as possible," the Cricinfo website said on Wednesday.
The left-handed batsman, who discussed his Test return during Wednesday's meeting with newly-appointed chief selector Asantha De Mel, is expected to arrive in England midway through the opening Test starting on Thursday.
The second Test of a three-match series begins at Edgbaston on May 25.
"We have received a letter from Sanath that he is available for the second Test and we are considering it," De Mel told.
Jayasuriya, 36, announced during a home series against Pakistan last month he was leaving Test cricket to concentrate on One-dayers leading up to the World Cup in the Caribbean in March-April next year.
But De Mel, who replaced Lalith Kaluperuma as chairman of the selection committee last week, blamed his predecessor for forcing the former captain out of Test cricket.
He said Jayasuriya was handed an ultimatum to either quit or be sacked.
"Sanath has done so much for the country and the selectors should have shown some respect for such a senior player. But they just called him for a meeting and asked him to step down or face the axe," said De Mel.
"He (Jayasuriya) played a season of county cricket with Somerset last year and he's the only Sri Lankan to have scored a Test double-century in England. You can't ask for better credentials."
Jayasuriya has scored 6,613 runs in 102 Tests with 14 centuries. He is also the world's fourth batsman to score 10,000 runs in one-dayers after India's Sachin Tendulkar and Sourav Ganguly, and Pakistan's Inzamam-ul-Haq.
Sri Lanka will also play five one-dayers in England after the Test series.