Once I have same problem.
My solution:
First turn of machine. Take some paper and soak it with sleaning solution. Remove print head from capping and put soaked paper over capping. Move head back to capping. Leave it for about 20-30min. After this take cleaning sponge swab. Soak it with solution. Wipe head and clean all ink.
In next step put head back to capping. Take syringe and pull some ink from head. You just have to remove waste bottle and put syringe on tube which goes to black head and pull some ink from the head. After this just turn on machine and start cleaning program.
I use this technique everytime when I cleaning heads.
Please note THIS IS HOW I DO! Do not blame me if something goes wrong.
Sorry for my bad english