Ask a favor of me for a job

[台灣英語網1.0]

My new job interview will be held next Tuesday. Some coworkers told me if I'm highly interested in this position, I had better to call on my key senior supervisor to express how important the job for me.
Accordingly, I talked with my section head yesterday. He didn't support my idea at all. He said "If I ask my key supervisor and acquire the job, people don't that I am a meritocrat. Letting nature take its course would be the best policy for this situation."
With his suggestion, I sincerely feel that I need to have assurance that I am the strongest candidate for this position.