Drawing upon the concept of match, this two‐wave study of 206 employees investigated job control (facets of autonomy) and personal control beliefs (locus of control, LOC) as moderators of time pressure–work engagement (WE) and the time pressure–general subjective well‐being (SWB) relationships. It was hypothesized that autonomy would accentuate the positive relationship of time pressure with WE and attenuate the negative relationship with SWB and that these moderations would occur only for employees with an internal LOC. Additionally, it was expected that a facet of job control (timing autonomy) that matched the specific demand (time pressure) would be more likely to act as a moderator than “less‐matching” facets (decision making or method autonomy). The results revealed that the interaction between time pressure, autonomy, and LOC for WE was strongest and for SWB only significant when the timing facet of autonomy served as the moderator (thus, when the autonomy facet matched the demand). However, the pattern of moderation was contrary to that expected. When time pressure increased, high autonomy became beneficial for the WE of employees with an external LOC but detrimental for the WE and SWB of employees with an internal LOC. Explanations for the unexpected findings are provided. Copyright © 2016 John Wiley & Sons, Ltd.