Leaking oil can be an issue if the problem becomes worse. This is can be an indication of a gearcase (transmission) that may be going bad. However, I have seen washers in this condition for months (years) and still function. Sometimes, excess oil will come out through a small breather hold on the top of the gearcase. Ultimately, if the problem continues to get worse, you will need to replace the gearcase.
I am posting a link that explains how to replace the gearcase if you decide to repair the unit yourself. I'm also posting it so that you have the knowledge on how to remove the washer case so you can inspect the interior:
This is what you need to do for now. Remove the washer casing, using the instructions I have provided, and take a look at the interior cabinet walls. If you see oil spray marks all around the interior, replace the gearcase. If the oil you are seeing is minor in nature, clean up and any spills/drips and place a clean sheet of cardboard under the washer so you can monitor how much is leaking. A tell-tale sign that the gearcase is beginning to go bad, is slow spin speeds and/or grinding noises. The gearcase also has a series of nuts that hold the upper pan to the case. You may also check to see if all these nuts are tight and not causing leaks. You will probably need to remove the gearcase in order to access them, however.
Pcappliancerepair.com has some excellent exploded view diagrams of your washer that you can use for reference. Just type in your model number and locate item 9 under the "Brake, Clutch, Gearcase, Motor and Pump" heading. The gearcase sells for about $144. You can also check searspartsdirect.com, appliancepartspros.com, or repairclinic.com to see if they carry the part any cheaper.
NOTE: If you DO order this part, make sure that the container is shipped upright. There are container markings on the box that indicate this, but those instructions sometimes get ignored. If the container is laid down, the oil can leak out through the breather hold on the gearcase.
This is not a difficult repair as long as you follow the steps provided. If you wish to pursue it (if needed) and still have questions, please let me know. I hope you find this information helpful.