(CNN) President Donald Trump made a concession to House Speaker Nancy Pelosi late Wednesday, agreeing to not give a State of the Union address until after the government shutdown standoff has ended.

"As the Shutdown was going on, Nancy Pelosi asked me to give the State of the Union Address. I agreed. She then changed her mind because of the Shutdown, suggesting a later date. This is her prerogative - I will do the Address when the Shutdown is over," Trump said in a tweet Wednesday.

"I am not looking for an ... alternative venue for the SOTU Address because there is no venue that can compete with the history, tradition and importance of the House Chamber. I look forward to giving a 'great' State of the Union Address in the near future!"

Trump's decision to abide by Pelosi's decision earlier in the day to disinvite him from giving the speech to a joint session of Congress in the House chamber is the first time one of the principal players in the standoff saga has blinked. Trump and Pelosi have been at loggerheads for more than 33 days as the speaker and the President both refuse to budge on shutdown negotiations -- Trump is demanding more than $5 billion for his wall along the southern border and Pelosi is refusing to give him a cent.

Pelosi reacted to Trump's decision by hoping he would back a House-passed bill to reopen the parts of the government shuttered for more than a month.

Read More