Did Cirdan give Gandalf his ring based on vibes or did the Istari spend some time in the Grey Havens?

In *Unfinished Tales* it sounds like he immediately gave it to him after the Istari stepped of their boat.

>[A]nd one came last who seemed the least, less tall than the others, and in looks more aged, grey-haired and grey-clad, and leaning on a staff. But Círdan from their first meeting at the Grey Havens divined in him the greatest spirit and the wisest; and he welcomed him with reverence, and he gave to his keeping the Third Ring, Narya the Red.

>'For,' said he, 'great labours and perils lie before you, and lest your task prove too great and wearisome, take this Ring for your aid and comfort. It was entrusted to me only to keep secret, and here upon the West-shores it is idle; but I deem that in days ere long to come it should be in nobler hands than mine, that may wield it for the kindling of all hearts to courage.'