Nothing is likely to get under your skin faster than when your beloved pooch won't stop whining. The odd thing is that he only whines a lot under certain circumstances, such as when his weekly grooming time comes around. If his whining is behavioral and not the result of a medical condition or injury, training can correct the problem in the long-term. In the meantime, you must find ways to keep him busy and distracted, or calm and relaxed, while you are grooming him.
Since your dog tends to whine a lot, especially when grooming time comes, there is no way to determine if it is just the grooming, or if there is another cause. Here, we will assume he is whining because he doesn't like you handling him or trying to brush his coat. The more time you spend grooming him and working to get him used to the tools you plan to use; the easier things will go for both of you.
The more time you spend tiring out your whiny dog and finding ways to keep him distracted the easier grooming will become. Take your time, be patient, make it fun, and before you know it your furry friend will be coming to you on Saturday for his next grooming session.