Thanks for posting your querry.
First, i would like to assure you that you do not have any leakage as, if there is a leak, then there would be fluid seeping in small quantities through out the day, which is not so in your case. What you are feeling is just a sensation.
The urge of urinating even after fully clearing your bladder, happens sometimes due to a minor urinary tract infection
. This can treated by consuming alkalies with copious amount of water.
If the urge does not reduce or completely stop, i would recommend you to visit your attending doctor for the same.
Hope you feel better soon.