Both strikers missed the action against Rangers in the midweek defeat against Rangers.
Andrew Nelson has missed two games for the Dark Blues after injuring himself in the 2-1 win against Livingston last month. He suffered a heel injury while celebrating his goal.
Curran's return is also in doubt. The former Dundee United and Ross County striker played at Livingston last weekend but has been nursing a stomach problem since the draw with Kilmarnock a fortnight ago.
The Dens boss said: “They are coming on slowly but they are not back on the training ground yet. Hopefully we might see either before the end of the week but I don’t want to say we will because it might not happen."
“Craig had an injection in his stomach area last week and it has settled down nicely so we have to give that a full week. It is just a muscle strain type thing in his stomach/hip area so the injection will hopefully calm that down.
“Andrew has a heel injury which he picked up celebrating at Livingston. He just jumped up and came down on it. It looks like absolutely nothing on the video when you watch it back but he just felt something.”
McIntyre added: “It is better but it is not fully away yet. What we don’t want to do is bring him back too early and then there is a reoccurrence which would leave him chasing his tail trying to get fitness because he has missed a lot of sessions. We have tried a couple of different things like putting a heel raise in to take the pressure off that area but he is still a bit tender so we have had to back off. He was better at the weekend so we will see what it is like by the end of the week.”
Dundee face Hearts this weekend at Dens Park.
Curran was signed by Csaba Laszlo in the summer but failed to make an impression at Tannadice with only three goals in sixteen appearances.
Rumours had swirled around the city that Curran would make the short trip up the street and even though he was an unused substitution today in United’s draw with Partick Thistle, both he and his now former employer were able to agree on an early contract termination to allow him a route back to the SPFL Premiership.
Curran has previously enjoyed playing under Jim McIntyre whilst at Ross County which resulted in three successful seasons before the Highland teams relegation last term.
Speaking to the official Dundee website, McIntyre was excited at adding Curran to his squad.
“I’m absolutely delighted that Craig has signed tonight. He is a player I know very well from our time together previously.”
“Craig is the right type, he has the right mentality and he is exactly what we need moving forward.”