If you are going to consolidate the consolidation loan you already have, the only way you are able to do this is by adding on new loans that you have not consolidated. Two different consolidation loans can also be consolidated into just one loan, but you cannot just refinance it on it’s own.
Even if you do a reconsolidation, it doesn’t mean that the rates on your previous loan are going to be relocked. A special average interest rate formula that is weighted is used to figure out the interest rate.
If you are trying to work on consolidating your current student loans and you think you may want to switch lenders in the future, then you may want to exclude one of the loans you have from this new loan.