Donald Trump’s lawyer has admitted Robert Mueller may seek fresh answers from the US president over alleged obstruction of justice.

Rudy Giuliani told CNN further questions for Mr Trump were “not on the table, but could be put back on the table” after the president submitted written answers to queries from the special counsel earlier this week.

The president answered questions surrounding alleged collusion between Russia and the Trump team during the 2016 presidential campaign, but refused to answer questions about issues of obstruction while in office, citing executive privilege.

“We answered every question they asked that was legitimately pre-election and focused on Russia,” Mr Giuliani said in an interview at the time. “Nothing post-election. And we've told them we're not going to do that.”

On Wednesday, however, Mr Giuliani revealed the president’s legal team is willing to answer follow-up questions from Mr Mueller and his investigators.

"We'll consider them and answer them if necessary, relevant and legal," Mr Giuliani said. "If it was something that would be helpful, relevant.”

President Trump responds to Acting Attorney General Matt Whitaker's past statement on the Mueller investigation

Mr Trump signed the submission to Mr Mueller on Tuesday before he left Washington to spend the Thanksgiving holiday in Florida, a person familiar with the matter said.

Mr Mueller, a former head of the FBI, was tasked to probe “any matters that arose or may arise directly from the investigation” into possible collusion between Mr Trump's campaign and Russia during the 2016 election.

US intelligence agencies have concluded Russia interfered in the presidential election by undermining Democratic candidate Hillary Clinton, in order to tip it towards Mr Trump.

Mr Trump has denied any collusion with Moscow and Russia has said it did not meddle in the election.

Trump attacks CNN's Jim Acosta in angry White House press conference Show all 10 1 /10 Trump attacks CNN's Jim Acosta in angry White House press conference Trump attacks CNN's Jim Acosta in angry White House press conference Donald Trump launched an extraordinary tirade against CNN reporter Jim Acosta during a press conference following the midterm elections Reuters Trump attacks CNN's Jim Acosta in angry White House press conference The US president ordered the journalist to put down his microphone and “just sit down” AFP Trump attacks CNN's Jim Acosta in angry White House press conference The row began following a question about the migrant caravan approaching the US, when Mr Trump was asked by CNN’s Jim Acosta if he thought he had “demonised” migrants by calling the group an “invasion” EPA Trump attacks CNN's Jim Acosta in angry White House press conference “I think you should let me run the country, you run CNN, and if you did it well, your ratings would be much better,” said the President AFP/Getty Trump attacks CNN's Jim Acosta in angry White House press conference After Mr Acosta attempted to follow up his question with a second on Robert Mueller’s Russia probe, Mr Trump added, pointing angrily: “That’s enough. That’s enough. That’s enough. Excuse me, that’s enough.” Mr Trump said he was “not concerned about anything” because the investigation was “a hoax”. Continuing to berate Mr Acosta, he added: “That’s enough. Put down the mic.” As the reporter continued to quiz him, Mr Trump became more agitated and stepped away from the podium. EPA Trump attacks CNN's Jim Acosta in angry White House press conference Returning to the podium, Mr Trump said: “I’ll tell you what, CNN should be ashamed of itself having you working for them. You are a rude, terrible person. You shouldn’t be working for CNN REUTERS Trump attacks CNN's Jim Acosta in angry White House press conference Trump continued: 'The way you treat Sarah Huckabee is horrible and the way you treat other people are horrible. You shouldn’t treat people that way.” She was sitting in the room listening on REUTERS Trump attacks CNN's Jim Acosta in angry White House press conference A second reporter, Peter Alexander, was called on by the president and said: “In Jim’s defence I’ve travelled with him a lot, he’s a diligent reporter.” EPA Trump attacks CNN's Jim Acosta in angry White House press conference Mr Trump cut him off, telling the NBC News journalist that “I’m not a big fan of yours either”, prompting laughter in the room AP Trump attacks CNN's Jim Acosta in angry White House press conference Mr Acosta continued to try to ask questions without his microphone, causing Mr Trump to tell him: “Just sit down, please. When you report fake news – no – when you report fake news, which CNN does, a lot, you are the enemy of the people.” REUTERS

Among the topics Mr Trump addressed was a June 2016 meeting between the president's son, Donald Trump Jr, other members of Mr Trump's campaign team and a group of Russians, the person familiar with the matter said.

Mr Trump has denied knowing about the Trump Tower meeting with the Russians, who promised damaging information about Ms Clinton.

Mr Mueller has already brought charges against some former Trump aides, including his former campaign chairman and his former national security adviser, as well as a number of Russian individuals and entities.

Mr Giuliani said in a statement the president provided “unprecedented cooperation” with the probe over the past year and a half, noting more than 30 White House-related witnesses had been questioned and 1.4 million pages of material turned over before the president responded to the pre-election questions in writing.

He added “much of what has been asked raised serious constitutional issues and was beyond the scope of a legitimate inquiry”.