Under the agreement, which has still to be signed, the UK would abandon ascendancy over the archipelago but advance a 99-year charter over Diego Garcia, home to a above UK-US aggressive airbase.
Prime Abbot Navinchandra Ramgoolam, adopted two weeks ago, has accurate astringent doubts over the agreement.
Reform UK baton and Trump accessory Nigel Farage told BBC Newsnight it would accident Sir Keir Starmer's relations with the US president-elect.
The accord is still accountable to the finalization of a treaty.
Lammy told the Commons Foreign Affairs Committee it was a "good deal" and that it addressed US apropos about the approaching of the aggressive abject on Diego Garcia.
"I'm very, actual assured that this is a accord that the Mauritians will see, in a cross-party sense, as a acceptable accord for them," Lammy said.
Ramgoolam bidding doubts about the acceding afterwards affair Jonathan Powell, the UK's civic aegis adviser, on Monday.
Marco Rubio, Trump’s aces for secretary of state, said in October that the accord airish a "serious threat" to US civic aegis by giving the islands to a country affiliated with China.
Lammy said: "This is abundantly sad. I apperceive and I'm sad that there's been so abundant campaigning about this."
He said the acceding was a "very acceptable deal" for "our civic security" because it anchored the acknowledged abject of the Diego Garcia aggressive base.
"I'm actually reassured about that, and I anticipate an admission [US] administering will be reassured about that, and I'm assured that the Mauritians are still abiding about that, admitting campaigning that we all apperceive goes on," Lammy added.
Speaking to BBC Newsnight, Farage said the admission Trump government was "horrified" by the anticipation of the accord the UK government had addled "because they apperceive China has amazing argosy ambitions".
If the accord were signed, he added, it would "be an abhorrent mistake, it would accident actual abominably our accord not aloof with Donald Trump but with America as an accomplished and accomplish accepting any accord on tariffs that abundant harder".
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Newsnight political editor Nicholas Watt said he had announced to a government abbot at the affection of the accord who alone claims that there were doubts over the agreement.
"This accord is fine, we are acknowledging with all-embracing law," the abbot told him.
Discussing the acceding in the ambience of accepted all-around tensions, Times columnist Matthew Syed told Newsnight: “I anticipate we’re affective closer, potentially, to a above war amid the big powers.
"We accept proxy wars accident in Europe and in the Middle East and there could be a barricade by China on Taiwan. Aggressive leaders say this is a strategically actually acute allotment of the apple and China's arch an anytime added adamant arbor including Iran, Russia and North Korea."
Europe, he argued, had been "free riding" on US defense spending. "We accept to be astute that in that context, with our bald defense capacity, it is actually acute that we angle with America."
Details of the treaty's acknowledged argument are actuality formed out and it is accepted to go afore Parliament for analysis abutting year.
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