Dharun Ravi was convicted in March of bias intimidation, invasion of privacy and other charges.
His roommate, Tyler Clementi, committed suicide in September 2010, days after the spying.
Last week, Ravi asked a judge to overturn the jury's verdict or for a probationary sentence.
In court filings Thursday, prosecutors disagreed with both positions. They said he was correctly found guilty and that he deserves a prison sentence, in part because he was not remorseful.
They said he need not be sentenced to the maximum 10 years, though.
Sentencing is scheduled for May 21.
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