Neb. Rev. Stat. § 29-420

For purposes of the Uniform Act on Fresh Pursuit, the term fresh pursuit shall include fresh pursuit as defined by the common law and also the pursuit of a person who has committed a felony or who is reasonably suspected of having committed a felony. It shall also include the pursuit of a person suspected of having committed a supposed felony, though no felony has actually been committed, if there is reasonable ground for believing that a felony has been committed. Fresh pursuit shall not necessarily imply instant pursuit, but pursuit without unreasonable delay.