Clinton takes the lead over Trump in another post-DNC poll
The poll showed Clinton, who just accepted the Democratic nomination for president, with 43% of support compared to Trump who had 41%.
Clinton gained with Democrats who had been undecided before the convention, but didn't seem to woo voters who had previously supported Trump, according to CBS.
Last week, after the Republican convention, Trump had a narrow lead over Clinton in the same poll.
The poll focused on registered voters in 11 battleground states who had been previously interviewed. The interviews were conducted over the internet. The margin of error was 5%.
Clinton also overtook Trump in the RealClearPolitics national polling average, with 45% support compared to Trump's 43%.
A Morning Consult poll released over the weekend found similar results.
That poll showed Clinton with a 43% to 40% advantage over Trump, a 7-point flip from the outlet's prior poll, which showed Trump with a 44% to 40% advantage following the completion of the Republican National Convention.
Trump received a 6-point bump in the Morning Consult poll following the RNC.
Allan Smith contributed to this report.