But Sir Keir said the EEA amendment to the EU (Withdrawal) Bill that will go before MPs on Monday was too divisive in the Parliamentary Labour Party (PLP).
In a coded warning to pro-EU Labour MPs, Starmer said there were "very divided views" in the party about a Norway-style model and he was "injecting some honesty about where we are in the party".
The Conservative Party attacked Labour's amendment, saying it "shattered their promise to respect the referendum result".
"Labour's amendment, along with a commitment to negotiate a new comprehensive customs union with the EU, is a strong and balanced package that would retain the benefits of the single market". But the proposal looks like single market membership in all but name, with Mr Starmer calling for the United Kingdom to learn from deals such as the one struck by Norway and negotiate "our own more ambitious agreement".
The London MP said that two years on from the referendum it was clear the Government had no plan for how it would protect jobs and the economy as well as guaranteeing no hard border in Northern Ireland.
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OPEC will meet on June 22 and needs a consensus of all members to officially change its output policy. Crude oil prices are continuing to diverge as global benchmarks rise relative to land locked WTI.
"In debates in Whitehall between fast and slow, I normally vote for fast".
Pro-EU Tory Anna Soubry, who supports the EEA option, said a majority of MPs would back remaining in the single market if it was put to a free vote but a "culture of fear" was preventing them from speaking out.
The official Labour amendments to the Brexit Bill call on Mrs May to make maintaining "full access" to the European Union "internal market" an objective of the negotiations with Brussels.
Theresa May will seek to overturn the changes to her flagship Brexit legislation introduced in the Lords in a showdown in the Commons next week.
Brexit Minister Suella Braverman said: "Labour have shattered their promise to respect the referendum result - this amendment means accepting free movement and continuing to follow European Union rules with absolutely no say in them, which is the worst of all worlds".
The document is expected to set out a time-limited arrangement under which the United Kingdom would remain within elements of the EU's customs union, in the event that it is unable to agree a preferred solution for Northern Ireland.
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Lawmakers in Britain's opposition Labour Party turned to Theresa May's Conservative government for a briefing on the Heathrow airport expansion, potentially opening up yet another split with leader Jeremy Corbyn.
A group of Tory rebels has also sent a signal to Mrs May and Mr Corbyn, tabling an amendment to a different piece of legislation calling for the United Kingdom to join the EEA. The EEA guarantees full access to the single market in return for making payments and accepting four freedoms: movement of labor, goods, capital and services. That is what Liberal Democrats will be voting for.
At an Open Britain event, she said Tories at all levels of government - including in the Cabinet - supported an EEA deal.
The Commons showdown on the set for June 12 after the House of Lords rewrote significant parts of the withdrawal bill.
In bruising exchanges, the Labour leader claimed her approach to negotiations with Brussels was more disorganised than railway timetables in the North of England.
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MIT scientists' newest artificial intelligence algorithm endeavor birthed a " psychopath " by the name of Norman . Based on the results of the test, Norman's response was more disturbing compared to the standard AI.