Newport boss Jimmy Dack conceded his side's play-off bid was over despite a 2-0 win at York.
Newport ended a run of four straight defeats with a 2-0 triumph on the road against York on Saturday.
Tranmere and Cheltenham dropped out of the Football League as Hartlepool sealed their Sky Bet League Two safety in the penultimate round of fixtures.
Team news for Saturday's League Two clash between York City and Newport County at Bootham Crescent.
We've analysed every team's finishing position over 50 years - where does your team rank in the Ultimate League?
Newport's squad are struggling with Chris Zebroski's jailing, says captain Andy Sandell.
Burton secured promotion to Sky Bet League One after Lucas Akins scored both goals in their 2-1 win at Morecambe.
Newport boss Jimmy Dack blasted his side's wastefulness as their promotion hopes were damaged by a 3-2 defeat to Dagenham.
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