I would caution you against using 62319 here. The CPT guidelines at the beginning of this section state:
"The placement and use of a catheter to administer one or more epidural or subarachnoid injections on a single calendar day should be reported in the same manner as if a needle had been used, ie, as a single injection using either 62310 or 62311. Such injections should not be reported with 62318 or 62319. Threading a catheter into the epidural space, injecting substances at one or more levels and then removing the catheter should be treated as a single injection (62310, 62311). If the catheter is left in place to deliver a substance(s) over a prolonged period (ie, more than a single calendar day) either coninuously or via intermittent bolus, use 62318, 62319 as appropriate."
Since your note states clearly that the infusion was less than a calendar day, I don't think 62319 would be appropriate.