The chart below shows the history of thawing degree days (daily mean temperature above 32 °F) during March. The long-term median is only 1, so this year the TDDs are above normal, but the situation is not particularly unusual.
Does the recent warmth mean that breakup will be earlier than usual this year? Perhaps, but it's a small effect, because thawing is barely getting under way. In 17 previous years with at least 8 TDDs in March, the Tanana River breakup date at Nenana averaged 2-3 days earlier than usual. The eventual breakup date is affected much more strongly by weather conditions in April, and especially right around breakup, of course.
On another note, a reader recently asked about the rate of spring warm-up in Fairbanks versus other locations, and specifically why Fairbanks warms up so quickly. Reader Gary provided helpful answers in comments and I agree with his suggestions. However, it's interesting to note that on average the rate of spring warming is actually no greater in Fairbanks than in locations higher up the Tanana River valley, such as Tok and Northway. In fact, because the higher elevation locations such as Northway are colder in winter, one could argue that they see more a more rapid warm-up in late winter. Of course, in late spring the warming is curtailed at higher elevations because summer temperatures are cooler than in low-lying Fairbanks. These differences are evident in the chart below.
The other town mentioned by the reader was Galena, which is certainly slower to warm up in March and April, and the main reason is the relative proximity to the west coast. The northern Bering Sea is largely ice-covered in spring and provides a source of cool low-level air that delays the seasonal warm-up for locations in western Alaska; a relative abundance of cloud cover closer to the coast may also play a role.