To be clear, it is not the job of the Senate to consider presidential nominations. That would run counter to independence of the branches, and it would allow the president to have influence over the Senate's work, which raises conflicts of interest.
Instead, in the US system of government, it is the *president*'s job, not the Senate's job, to run the appointment process. It's an Article II responsibility laid on the executive branch, not an Article I responsibility on the Congress.
If the president fails to nominate someone the Senate is interested in, then he is given no authority over the Senate to interrupt legislative business to force consideration.
No action is the default for ANY business before the Senate that senators aren't interested in spending time on.