If things weren't busy enough for the White House and congressional Democrats, economists are now calling for a second stimulus package to fight the rising unemployment rate, the Wall Street Journal reports.

Unemployment rose slightly to 9.5 percent in June, leading President Obama's critics to argue his $787 billion economic stimulus package is not doing enough for the economy.

Over the weekend, Vice President Joe BidenJoe BidenAmazon primed for merger battle Delaware pool where Biden worked as lifeguard named after him The Hill's 12:30 Report MORE said the administration "misread" the economy, giving some credence to those critics.

Biden also refused to rule out a second stimulus package. That would put the White House in a tricky position, though. Only 10 percent of the original stimulus package has been spent so far, Biden said, so the remaining billions could still spur new jobs.