The White House hasn't immediately responded to a request for comment about Pelosi's request, which she made in a letter to the president.
Pelosi says the partial shutdown is raising concerns about security preparations for the speech. The California Democrat notes that the Secret Service and Department of Homeland Security have been without funding for almost four weeks.
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The annual speech is perhaps the president's biggest opportunity to present his agenda directly to the public.
Pelosi writes that "given the security concerns and unless government reopens this week, I suggest that we work together to determine another suitable date after the government has re-opened."
She's also raising the possibility that delivers the message in writing, as presidents once did.
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