After being abruptly surprised and spooked by SAAI's notification, it took Jacob some time to come to terms with this grave situation.
First, if he was being monitored by the SAAI, despite his unique actions and traits, nothing ever happened to him. Second, when he thought about it more thoroughly, he reached a very believable conclusion: that this monitoring seemed to be done through the Star Watch.
Because if the SAAI could monitor his every action and send that magic scroll to him from anywhere and anytime, then why did it wait a week to send his rewards? He had finished with the dark beings a week earlier, and he had also stowed away his Star Watch so no one would disturb his peaceful sleep.
However, he slept for a week, and his Star Watch clearly could not receive any sort of notification or call while it was being held in the infinity pendant.