Donald Trump’s joint fund with the Republican National Committee raised $25 million in the second quarter of 2016, but just $2.2 million of that was transferred to the presumptive nominee’s campaign, according to a report filed Friday with the Federal Election Commission.

The funds transferred from Trump Victory come on top of another $20 million the New York businessman raised directly for his campaign last month, he said earlier this month, a sharp acceleration in his fundraising pace that drew him slightly closer to matching Democrat Hillary Clinton’s hefty war chest.

Mrs. Clinton raised $40 million last month, and her joint fund with the Democratic National Committee raised $81 million in the second quarter.

The latest figures, which bring the fundraising total for Mr. Trump’s campaign to $39 million this election cycle, show Mr. Trump and the Republican National Committee massively expanded their fundraising operation last month. Trump Victory raised $20 million in June alone, up from $5.4 million in May. Mr. Trump raised just $3.1 million for his campaign in May, raising concerns among donors and supporters about whether his campaign would be a viable competitor to Mrs. Clinton.

Yet the fraction of the funds that Trump Victory transfers to the campaign illustrate the potential drawbacks of Mr. Trump’s decision to rely so heavily on the party’s fundraising structure. While Mr. Trump has raised money for his own campaign online and through small fundraising events, all the larger events he has attended have been coordinated by party fundraisers, as his campaign hasn’t assembled a traditional finance team structure.