The Queen attended the state opening despite her husband, Prince Philip, 96, being hospitalised with an infection.
"The invitation for the state visit has been extended, and it wasn't mentioned in the speech as no date has been decided upon yet", an unnamed spokesperson for British Prime Minister Theresa May told CNN Wednesday.
May's own position has been called into question ever since her decision to call a snap election.
There had been speculation that the visit may be postponed this year to avoid Trump being greeted by protesters outside Downing Street.
Instead, May lost her majority as many voters shunned the government's approach to Britain's European Union exit and rebelled against seven years of austerity.
The absence of Trump's visit from the speech is a far cry from the way the invitation was announced in the early days of his presidency.
The opening of Parliament - known as the Queen's Speech - was delayed for almost a week amid the political turmoil set in motion by national elections June 8 called by May.
Berlusconi comprend Donnarumma, mais — Milan
Pour eux, la vente du gardien de but, lors de ce mercato, est tout sauf dans les tuyaux... même si la porte reste ouverte. Il a encaissé 49 buts et validé 12 clean sheets.
A banner said "We Need Justice For Grenfell Tower" - a reference to the tower block fire last week in which 79 people died, prompting criticism of budget cuts and officials for ignoring warnings about fire safety risks.
Twitter users posted pictures of the queen's blue hat decorated with flowers with yellow centres alongside an image of the blue flag of the European Union, with the yellow stars representing its member states.
"The over-riding message we got, on the doorsteps, at the General Election was that that people have had enough of austerity and want to see an end of it, yet there was not one hint that we would see this".
The speech set out the new government's domestic priorities, including sweeping changes to technical education, beefed-up plans for tackling domestic violence and paving the way for the next phase of Britain's north-south high speed rail network.
Emboldened by a better than expected election result, Mr Corbyn said his party was "not merely an opposition: we are a government in waiting".
The prime minister, who had campaigned with the slogan "Brexit means Brexit", softened her tone in comments released ahead of the speech.
The event is usually filled with pomp and circumstance, like royal robes and a horse-drawn carriage.
The aim, said the monarch, was for Britain to make a success of Brexit.
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