West Indies, set a nominal 312 to win, were bowled out for 198 on the fifth and final day as England levelled the three-match series at 1-1.
Former India cricketer Aakash Chopra feels England talisman Ben Stokes is the best all-rounder in the world across formats.
Archer will undergo two COVID-19 tests during a five-day isolation period after his unsanctioned trip to Brighton between the first and second Tests.
Chasing 200 on the final day of the Test match, West Indies came out with a gritty performance, especially from Jermaine Blackwood, to take a 1-0 lead in the three-match series.
With the dismissal of Alzarri Joseph, Stokes joined former England all-rounder Ian Botham and four other greats of the game in the club of 4000 Test runs and 150-plus wickets.
The opening Test at the Ageas Bowl marks the resumption of international cricket in a "bio-secure" environment after all activities were suspended in March due to the COVID-19 pandemic.
Tendulkar spoke about stand-in English skipper Stokes while previewing the three-Test series, which starts in Southampton on Wednesday.
No spectators will be allowed into the Ageas Bowl in a behind-closed-doors series that sees the other two Tests taking place at Old Trafford.
England's World Cup hero Stokes was on Tuesday named captain for the opening Test against West Indies in place of Joe Root, who has taken leave to be with his wife for the birth of their second child.
Skipper Joe Root is expected to miss at least one game during the series as he is awaiting the birth of his second child.
Never said India lost deliberately to England in 2019 World Cup: Ben Stokes on claims by ex-Pak cricketer
Former Pakistan bowler Sikander Bakht recently claimed on Twitter that Stokes, in his book, has said that India lost intentionally to England to remove Pakistan from the World Cup.
Ben Stokes called Indian skipper Virat Kohli's complaints about the '59 metre' boundary on one side 'whingeing'.
Stokes' opinion was sought whether the upcoming England vs West Indies series at home in empty stadiums will lose its sheen as ECB is contemplating cricket without live spectators for some time.
Ben Stokes will run his maiden half marathon to raise funds for a charity and hospitals battling the COVID-19 pandemic.
Stokes shared an extraordinary 76-run stand with no.11 Jack Leach off which the latter contributed just one run to take England to a series-levelling, one-wicket win over Australia.