Restitution is what a crime victim is owed in money as compensation for loss or damage to property that is a direct result of the criminal action (I presume there is such loss or damage because of the fact that restitution is owed, apparently). So, if the defendant can make the victim whole, or restore that damaged or lost property more quickly with an incentive, then the offered sentence can be reduced to become that incentive. If at this point in the case it is certain that a sentence is going to be imposed, by all means it should be helpful to be able to say that, as far as money damages go, the defendant did all that he or she was able to do towards making that part of it right.
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In situations likes these, the prosecutor will agree to a non-jail sentence if the restitution is paid up front and at sentencing. I would suggest having a cashiers check or money order ready to go at sentencing. Do not bring cash! The prosecutor and/or clerk of the courts likely won't accept that.