Instead of recreating the procedure from scratch, which will then have a new GUID and will require all Information Links which reference this procedure to get updated, it is better to instead edit the existing procedure element.
1. In the Information Designer, right click on the Procedure and select "Edit"
2. Highlight any other procedure from the Data Sources tab tree view and click "Select". Then highlight and select the original procedure again by clicking the "Select" button a second time.
Now the "Input Parameters" section will be updated in procedure element with the modified input parameters, and any Information Links containing that procedure will work as usual.
Note: Be sure to close and reopen the Information Designer after any changes have been made on the procedure (like modification of input parameters) so that the changes are seen in Spotfire.