The antonyms for the phrase "more out of season" can be "in season," "appropriate," "timely," or "fitting." "In season" refers to something that is happening or prevalent at the present time or is suitable for the particular time of the year. "Appropriate" means conforming to the particular circumstances or needs, while "timely" signifies something that is happening at the right time or schedule. Lastly, "fitting" pertains to something that is appropriate, suitable, or proper for a particular person, circumstance, or occasion. In contrast to "more out of season," their antonyms accurately describe the quality of an event or thing with respect to timing or suitability.