The phrase "immediate deadlines" is correct and can be used in written English.
You can use it to refer to deadlines that are quickly approaching. For example, "I'm feeling overwhelmed because my immediate deadlines are too tight."
Beyond the immediate deadlines prescribed by the City Charter -- offices to fill, budget reports to make -- he will find that he is not the only freshman at the learning institution of City Hall.
With a keen interest in political coverage, Mr. Lower was frustrated that on election nights the networks had to rely for election results on The Associated Press, United Press International and other news agencies, which were attuned to the less immediate deadlines of newspapers.
Category 2 is for the "trees"; they usually do not have immediate deadlines.
There are more immediate deadlines, since a new nominated advisor - the firm which manages a company's listing on the stock exchange - needs to be appointed before close of business on Thursday.
As discussed in the section 'Cost-time analysis for the CityCat simulations' the main benefits of using the Cloud come more from the rapid provisioning of resources to meet immediate deadlines rather than the cost-effectiveness of resources, especially over the whole lifetime of a resource.
Since I wasn't under any immediate deadlines, the most useful purpose I found for being connected to the web in this lush tropical resort was to tell my friends that not only had I spotted Mick Jagger at a neighboring table during dinner but I'd managed to bump hips with him on the dance floor at Basil's, Mustique's popular watering hole.
They were committed to a tangible goal, with an immediate deadline.
The statute has another 18 months to run, but a more immediate deadline is looming.
There is no immediate deadline to hurry the discussions, according to people who have been briefed on DreamWorks and its underpinnings.
They face an immediate deadline: Wednesday is the cutoff date set by the federal magistrate for the Senate and the Assembly to submit proposals for the court to consider as it begins to draft its own Congressional map.
However, diplomats at the Vienna talks said a more immediate deadline was 6 January when the new US Congress convenes for the first time since elections this month, at which Republicans won control of the Senate.
