The case of paralysed road accident victim Paul Lamb, who won the right to join the litigation to continue the battle started by Mr Nicklinson, will also be considered during the appeal court hearing, which will last several days.
Immobile except for limited movement in his right hand, Mr Lamb has been in significant pain since the 1990 tragedy.
The former builder and father-of-two said in a statement after winning the right to have his case heard: "I hope that this is the next step towards the ultimate goal of changing this cruel law, which keeps people like me alive when I want to have a dignified death.
"To be given this chance of being involved in the case makes me very proud. I have always been an extremely strong character and when I believe in something, I can take on the world.
"So, for the sake of everyone in this country who deserves the right to have a dignified death, I hope that we can make this happen."
More top news
Islamic State poses as great a threat to Britain as the IRA during its bombing campaign in the 1970s, a watchdog has said.
Turning colder with showers in the west and windy for many, with severe gales in exposed northern and western parts.
The elderly woman's son complained to the council that his mother had been deprived of her liberty in an 'unprecedented' legal case.