Final answer:
The statement indicating the client's understanding of appropriate workplace communication is the one using 'I' statements to express feelings and establish boundaries without blame.
Step-by-step explanation:
When discussing appropriate communication in the workplace, it's important to convey feelings and needs without blaming others. The statement by the client to the coworker that indicates client understanding is: "When I have to pick up extra work, I feel very overwhelmed. I need to focus on my own responsibilities." This is an example of using 'I' statements to express feelings and set boundaries, which is a key element of assertive communication. Reflecting on the context of the supervisory relationship and the importance of prioritizing tasks, the client seems to understand the role of judgment and accountability.
It's essential to manage work overload and personal boundaries at work to prevent burnout and maintain a collaborative and successful working relationship. By focusing on clear, respectful, and direct dialogue, workers can help ensure their concerns are heard and addressed.