The Electoral Commission is to visit the offices of The Brexit Party to review how it receives funding.
A spokesperson said the visit on Tuesday was part of its “active oversight and regulation” of donations.
Ex-PM Gordon Brown accused the party – which is riding high in polls ahead of the European elections – of receiving a large amount of money via small “undeclared, untraceable payments”.
Leader Nigel Farage accused Mr Brown of “a disgusting smear”.
Mr Farage had a milkshake thrown at him on Monday while campaigning in Newcastle ahead of Thursday’s European elections.
An Electoral Commission spokesman said if there was “evidence that the law may have been broken”, it would consider it “in line with our enforcement policy”.
The watchdog’s visit was already scheduled ahead of Mr Brown’s intervention, and it says it does meet regularly with parties both during and outside campaigns to verify their processes.
Under the rules governing donations, amounts below £500 do not have to be declared.
An official donation of £500 or more must be given by a “permissible donor”, who should either be somebody listed on the UK electoral roll or a business registered at Companies House and operating in the UK.
At an event in Glasgow, Mr Brown said there was no way of telling whether donations to The Brexit Party – which can be made through PayPal – come from British or foreign sources, and therefore the system was being abused.
Political parties – including the Conservatives and Labour – use PayPal to collect donations on their website.
“You can pay to this party in Russian roubles or American dollars,” Mr Brown said.
“Democracy is ill served, and trust in democracy will continue to be undermined, if we have no answers as to where the money is coming from,” he added.
Labour MP Chris Bryant has also said the system is open to abuse.
Responding to the Mr Brown’s comments, Mr Farage said: “Most of our money has been raised by people giving £25 to become registered supporters.”
“And over 110,000 of them now have done that. And frankly, this smacks of jealousy because the other parties simply can’t do this.”
When asked if the party took donations in foreign currency, Mr Farage replied: “Absolutely not, we only take sterling – end of conversation.”
Shadow chancellor John McDonnell said there were “questions obviously that have to be answered”.
He called for “a full and open and transparent, independent inquiry into the funding of Mr Farage”.
Speaking on BBC Radio 4’s Today programme, Brexit Party chairman Richard Tice said: “We’ve got a PayPal account for people paying less than £500; above that we apply the appropriate Electoral Commission rules.”
Asked if he could confirm whether the party takes cash from foreign citizens, Mr Tice said: “I don’t sit in front of the PayPal account all day so I don’t know what currencies people are paying in, but, as I understand it, the PayPal takes it in sterling.”
In 2013 the Electoral Commission issued guidance to parties that “if a donor makes regular payments for an unspecified donation and towards an unspecified total amount, our view is that these payments should be treated as separate donations.”
Analysis: By Jessica Parker, BBC political correspondent
As you might expect, the world of party funding and finance is a complicated one. But an interesting element to pin-point is this issue of smaller donations.
Under UK law a donation to a political party that’s under £500 does not have to be reported to the Electoral Commission. In fact, that kind of financial contribution doesn’t even count as a donation. So, for example, the usual rules around the money having to come from a UK elector or UK-registered company don’t apply.
What wouldn’t be allowed are repeated small donations, from the same source, in order to dodge the donation limits.
Significantly, these rules originate from legislation that’s nearly 20 years old – the Political Parties, Elections and Referendums Act 2000. Back then, they probably didn’t worry about the risk that parties might be able to crowdfund from foreign donors, and one academic’s told me that the law is no longer “fit for purpose”.
Meanwhile, when it comes to the Electoral Commission’s plan to visit The Brexit Party’s offices – I understand that this was pencilled in last week and it’s not necessarily unusual for the commission to meet with parties to ensure that their systems are up to scratch.
During his speech, Gordon Brown also attacked Nigel Farage for receiving £450,000 from Leave campaigner Arron Banks while still a member of the European Parliament.
Mr Brown said The Brexit Party leader should have declared the payments he was receiving “to avoid a conflict of interest”.
Asked about it following an investigation by Channel 4 News, Mr Farage said he did not declare it to the European Parliament because he was about to leave politics and had been seeking a new life in the US.
Lib Dem MEP Catherine Bearder has written to the President of the European Parliament Antonio Tajani calling for an investigation into the matter. Green MEP Molly Scott Cato said she had also referred Mr Farage to the European Anti-Fraud Office.