2,000 homes and businesses in Indianapolis are still without power, and as many as 31,000 people were without electricity over the weekend.
If the request is granted, the money would be used to reimburse expenses relating to road damage and debris removal.
The National Weather Service says a tornado hit Prince's Lakes early Sunday.
A winter weather advisory remains in effect until 7 p.m.
The winter storm has left thousands without power around the state, but the number of outages is dropping.
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The legislature will not convene Monday as originally planned because of the low temperatures and heavy snow.
One month after a tornado ripped through Washington, local officials are still making their case for why they need federal assistance.
Local and federal agencies are conducting additional damage assessments to determine whether the state can receive federal aid after last month's tornadoes.
A winter weather advisory means that periods of snow and sleet will cause travel difficulties and limited visibilities.